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Finding the Fourth Proportional to 553,911.40, 830,867.10 and 198,980.20

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Solution

The fourth proportional to 553,911.40, 830,867.10 and 198,980.20 is: 298,470.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,911.40 : 830,867.10 = 198,980.20 : x
  2. Step 2: Convert to fraction form
    553,911.40/830,867.10 = 198,980.20/x
  3. Step 3: Cross multiply
    553,911.40x = 830,867.10 × 198,980.20
  4. Step 4: Simplify right side
    553,911.40x = 165,326,101,731.42
  5. Step 5: Solve for x
    x = 165,326,101,731.42/553,911.40
  6. Step 6: Final answer
    x = 298,470.30

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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.