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Finding the Fourth Proportional to 514,146.08, 709,521.14 and 284,703.36

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Solution

The fourth proportional to 514,146.08, 709,521.14 and 284,703.36 is: 392,890.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,146.08 : 709,521.14 = 284,703.36 : x
  2. Step 2: Convert to fraction form
    514,146.08/709,521.14 = 284,703.36/x
  3. Step 3: Cross multiply
    514,146.08x = 709,521.14 × 284,703.36
  4. Step 4: Simplify right side
    514,146.08x = 202,003,050,600.09
  5. Step 5: Solve for x
    x = 202,003,050,600.09/514,146.08
  6. Step 6: Final answer
    x = 392,890.38

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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.