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Finding the Fourth Proportional to 514,001.25, 709,223.31 and 332,688.02

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Solution

The fourth proportional to 514,001.25, 709,223.31 and 332,688.02 is: 459,045.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,001.25 : 709,223.31 = 332,688.02 : x
  2. Step 2: Convert to fraction form
    514,001.25/709,223.31 = 332,688.02/x
  3. Step 3: Cross multiply
    514,001.25x = 709,223.31 × 332,688.02
  4. Step 4: Simplify right side
    514,001.25x = 235,950,095,195.63
  5. Step 5: Solve for x
    x = 235,950,095,195.63/514,001.25
  6. Step 6: Final answer
    x = 459,045.76

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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.