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Finding the Fourth Proportional to 553,396.80, 830,095.20 and 413,428.80

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Solution

The fourth proportional to 553,396.80, 830,095.20 and 413,428.80 is: 620,143.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,396.80 : 830,095.20 = 413,428.80 : x
  2. Step 2: Convert to fraction form
    553,396.80/830,095.20 = 413,428.80/x
  3. Step 3: Cross multiply
    553,396.80x = 830,095.20 × 413,428.80
  4. Step 4: Simplify right side
    553,396.80x = 343,185,262,421.76
  5. Step 5: Solve for x
    x = 343,185,262,421.76/553,396.80
  6. Step 6: Final answer
    x = 620,143.20

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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.