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Finding the Fourth Proportional to 566,420.34, 781,654.14 and 311,766.06

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Solution

The fourth proportional to 566,420.34, 781,654.14 and 311,766.06 is: 430,233.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,420.34 : 781,654.14 = 311,766.06 : x
  2. Step 2: Convert to fraction form
    566,420.34/781,654.14 = 311,766.06/x
  3. Step 3: Cross multiply
    566,420.34x = 781,654.14 × 311,766.06
  4. Step 4: Simplify right side
    566,420.34x = 243,693,231,510.49
  5. Step 5: Solve for x
    x = 243,693,231,510.49/566,420.34
  6. Step 6: Final answer
    x = 430,233.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.