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Finding the Fourth Proportional to 506,368.68, 698,857.86 and 291,503.40

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Solution

The fourth proportional to 506,368.68, 698,857.86 and 291,503.40 is: 402,314.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,368.68 : 698,857.86 = 291,503.40 : x
  2. Step 2: Convert to fraction form
    506,368.68/698,857.86 = 291,503.40/x
  3. Step 3: Cross multiply
    506,368.68x = 698,857.86 × 291,503.40
  4. Step 4: Simplify right side
    506,368.68x = 203,719,442,306.72
  5. Step 5: Solve for x
    x = 203,719,442,306.72/506,368.68
  6. Step 6: Final answer
    x = 402,314.46

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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.