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Finding the Fourth Proportional to 506,972.95, 699,656.16 and 292,126.57

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Solution

The fourth proportional to 506,972.95, 699,656.16 and 292,126.57 is: 403,153.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,972.95 : 699,656.16 = 292,126.57 : x
  2. Step 2: Convert to fraction form
    506,972.95/699,656.16 = 292,126.57/x
  3. Step 3: Cross multiply
    506,972.95x = 699,656.16 × 292,126.57
  4. Step 4: Simplify right side
    506,972.95x = 204,388,154,200.17
  5. Step 5: Solve for x
    x = 204,388,154,200.17/506,972.95
  6. Step 6: Final answer
    x = 403,153.96

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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.