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Finding the Fourth Proportional to 506,972.45, 699,655.47 and 292,126.07

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Solution

The fourth proportional to 506,972.45, 699,655.47 and 292,126.07 is: 403,153.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,972.45 : 699,655.47 = 292,126.07 : x
  2. Step 2: Convert to fraction form
    506,972.45/699,655.47 = 292,126.07/x
  3. Step 3: Cross multiply
    506,972.45x = 699,655.47 × 292,126.07
  4. Step 4: Simplify right side
    506,972.45x = 204,387,602,805.10
  5. Step 5: Solve for x
    x = 204,387,602,805.10/506,972.45
  6. Step 6: Final answer
    x = 403,153.27

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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.