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Finding the Fourth Proportional to 442,046.16, 663,064.32 and 264,602.72

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Solution

The fourth proportional to 442,046.16, 663,064.32 and 264,602.72 is: 396,901.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,046.16 : 663,064.32 = 264,602.72 : x
  2. Step 2: Convert to fraction form
    442,046.16/663,064.32 = 264,602.72/x
  3. Step 3: Cross multiply
    442,046.16x = 663,064.32 × 264,602.72
  4. Step 4: Simplify right side
    442,046.16x = 175,448,622,606.95
  5. Step 5: Solve for x
    x = 175,448,622,606.95/442,046.16
  6. Step 6: Final answer
    x = 396,901.13

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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.