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Finding the Fourth Proportional to 514,068.53, 709,436.75 and 284,625.82

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Solution

The fourth proportional to 514,068.53, 709,436.75 and 284,625.82 is: 392,795.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,068.53 : 709,436.75 = 284,625.82 : x
  2. Step 2: Convert to fraction form
    514,068.53/709,436.75 = 284,625.82/x
  3. Step 3: Cross multiply
    514,068.53x = 709,436.75 × 284,625.82
  4. Step 4: Simplify right side
    514,068.53x = 201,924,018,700.85
  5. Step 5: Solve for x
    x = 201,924,018,700.85/514,068.53
  6. Step 6: Final answer
    x = 392,795.91

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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.