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Finding the Fourth Proportional to 462,095.92, 691,566.75 and 387,300.52

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Solution

The fourth proportional to 462,095.92, 691,566.75 and 387,300.52 is: 579,628.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,095.92 : 691,566.75 = 387,300.52 : x
  2. Step 2: Convert to fraction form
    462,095.92/691,566.75 = 387,300.52/x
  3. Step 3: Cross multiply
    462,095.92x = 691,566.75 × 387,300.52
  4. Step 4: Simplify right side
    462,095.92x = 267,844,161,889.71
  5. Step 5: Solve for x
    x = 267,844,161,889.71/462,095.92
  6. Step 6: Final answer
    x = 579,628.93

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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.