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Finding the Fourth Proportional to 514,366.74, 709,801.26 and 284,908.50

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Solution

The fourth proportional to 514,366.74, 709,801.26 and 284,908.50 is: 393,159.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,366.74 : 709,801.26 = 284,908.50 : x
  2. Step 2: Convert to fraction form
    514,366.74/709,801.26 = 284,908.50/x
  3. Step 3: Cross multiply
    514,366.74x = 709,801.26 × 284,908.50
  4. Step 4: Simplify right side
    514,366.74x = 202,228,412,284.71
  5. Step 5: Solve for x
    x = 202,228,412,284.71/514,366.74
  6. Step 6: Final answer
    x = 393,159.97

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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.