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Finding the Fourth Proportional to 506,729.13, 698,981.52 and 334,648.68

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Solution

The fourth proportional to 506,729.13, 698,981.52 and 334,648.68 is: 461,613.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,729.13 : 698,981.52 = 334,648.68 : x
  2. Step 2: Convert to fraction form
    506,729.13/698,981.52 = 334,648.68/x
  3. Step 3: Cross multiply
    506,729.13x = 698,981.52 × 334,648.68
  4. Step 4: Simplify right side
    506,729.13x = 233,913,243,012.39
  5. Step 5: Solve for x
    x = 233,913,243,012.39/506,729.13
  6. Step 6: Final answer
    x = 461,613.97

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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.