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Finding the Fourth Proportional to 514,398.92, 709,854.44 and 284,946.98

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Solution

The fourth proportional to 514,398.92, 709,854.44 and 284,946.98 is: 393,217.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,398.92 : 709,854.44 = 284,946.98 : x
  2. Step 2: Convert to fraction form
    514,398.92/709,854.44 = 284,946.98/x
  3. Step 3: Cross multiply
    514,398.92x = 709,854.44 × 284,946.98
  4. Step 4: Simplify right side
    514,398.92x = 202,270,878,917.59
  5. Step 5: Solve for x
    x = 202,270,878,917.59/514,398.92
  6. Step 6: Final answer
    x = 393,217.93

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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.