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Finding the Fourth Proportional to 484,042.33, 725,967.78 and 460,038.16

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Solution

The fourth proportional to 484,042.33, 725,967.78 and 460,038.16 is: 689,966.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,042.33 : 725,967.78 = 460,038.16 : x
  2. Step 2: Convert to fraction form
    484,042.33/725,967.78 = 460,038.16/x
  3. Step 3: Cross multiply
    484,042.33x = 725,967.78 × 460,038.16
  4. Step 4: Simplify right side
    484,042.33x = 333,972,881,730.49
  5. Step 5: Solve for x
    x = 333,972,881,730.49/484,042.33
  6. Step 6: Final answer
    x = 689,966.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.