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Finding the Fourth Proportional to 466,359.76, 643,626.12 and 285,177.52

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Solution

The fourth proportional to 466,359.76, 643,626.12 and 285,177.52 is: 393,575.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,359.76 : 643,626.12 = 285,177.52 : x
  2. Step 2: Convert to fraction form
    466,359.76/643,626.12 = 285,177.52/x
  3. Step 3: Cross multiply
    466,359.76x = 643,626.12 × 285,177.52
  4. Step 4: Simplify right side
    466,359.76x = 183,547,700,708.82
  5. Step 5: Solve for x
    x = 183,547,700,708.82/466,359.76
  6. Step 6: Final answer
    x = 393,575.34

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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.