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Finding the Fourth Proportional to 382,502.40, 572,587.20 and 224,260.80

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Solution

The fourth proportional to 382,502.40, 572,587.20 and 224,260.80 is: 335,707.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,502.40 : 572,587.20 = 224,260.80 : x
  2. Step 2: Convert to fraction form
    382,502.40/572,587.20 = 224,260.80/x
  3. Step 3: Cross multiply
    382,502.40x = 572,587.20 × 224,260.80
  4. Step 4: Simplify right side
    382,502.40x = 128,408,863,541.76
  5. Step 5: Solve for x
    x = 128,408,863,541.76/382,502.40
  6. Step 6: Final answer
    x = 335,707.34

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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.