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Finding the Fourth Proportional to 553,362.30, 830,043.45 and 413,394.30

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Solution

The fourth proportional to 553,362.30, 830,043.45 and 413,394.30 is: 620,091.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,362.30 : 830,043.45 = 413,394.30 : x
  2. Step 2: Convert to fraction form
    553,362.30/830,043.45 = 413,394.30/x
  3. Step 3: Cross multiply
    553,362.30x = 830,043.45 × 413,394.30
  4. Step 4: Simplify right side
    553,362.30x = 343,135,230,982.34
  5. Step 5: Solve for x
    x = 343,135,230,982.34/553,362.30
  6. Step 6: Final answer
    x = 620,091.45

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.