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Finding the Fourth Proportional to 506,197.42, 698,728.36 and 291,423.08

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Solution

The fourth proportional to 506,197.42, 698,728.36 and 291,423.08 is: 402,265.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,197.42 : 698,728.36 = 291,423.08 : x
  2. Step 2: Convert to fraction form
    506,197.42/698,728.36 = 291,423.08/x
  3. Step 3: Cross multiply
    506,197.42x = 698,728.36 × 291,423.08
  4. Step 4: Simplify right side
    506,197.42x = 203,625,569,297.43
  5. Step 5: Solve for x
    x = 203,625,569,297.43/506,197.42
  6. Step 6: Final answer
    x = 402,265.13

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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.