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Finding the Fourth Proportional to 487,991.70, 728,665.87 and 430,587.20

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Solution

The fourth proportional to 487,991.70, 728,665.87 and 430,587.20 is: 642,949.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,991.70 : 728,665.87 = 430,587.20 : x
  2. Step 2: Convert to fraction form
    487,991.70/728,665.87 = 430,587.20/x
  3. Step 3: Cross multiply
    487,991.70x = 728,665.87 × 430,587.20
  4. Step 4: Simplify right side
    487,991.70x = 313,754,197,444.06
  5. Step 5: Solve for x
    x = 313,754,197,444.06/487,991.70
  6. Step 6: Final answer
    x = 642,949.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.