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Finding the Fourth Proportional to 564,864.60, 847,029.60 and 328,279.80

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Solution

The fourth proportional to 564,864.60, 847,029.60 and 328,279.80 is: 492,264.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,864.60 : 847,029.60 = 328,279.80 : x
  2. Step 2: Convert to fraction form
    564,864.60/847,029.60 = 328,279.80/x
  3. Step 3: Cross multiply
    564,864.60x = 847,029.60 × 328,279.80
  4. Step 4: Simplify right side
    564,864.60x = 278,062,707,682.08
  5. Step 5: Solve for x
    x = 278,062,707,682.08/564,864.60
  6. Step 6: Final answer
    x = 492,264.35

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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.