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Finding the Fourth Proportional to 438,525.32, 657,830.91 and 182,304.90

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Solution

The fourth proportional to 438,525.32, 657,830.91 and 182,304.90 is: 273,475.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,525.32 : 657,830.91 = 182,304.90 : x
  2. Step 2: Convert to fraction form
    438,525.32/657,830.91 = 182,304.90/x
  3. Step 3: Cross multiply
    438,525.32x = 657,830.91 × 182,304.90
  4. Step 4: Simplify right side
    438,525.32x = 119,925,799,453.27
  5. Step 5: Solve for x
    x = 119,925,799,453.27/438,525.32
  6. Step 6: Final answer
    x = 273,475.20

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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.