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Finding the Fourth Proportional to 432,002.06, 596,164.56 and 241,023.50

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Solution

The fourth proportional to 432,002.06, 596,164.56 and 241,023.50 is: 332,613.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,002.06 : 596,164.56 = 241,023.50 : x
  2. Step 2: Convert to fraction form
    432,002.06/596,164.56 = 241,023.50/x
  3. Step 3: Cross multiply
    432,002.06x = 596,164.56 × 241,023.50
  4. Step 4: Simplify right side
    432,002.06x = 143,689,668,827.16
  5. Step 5: Solve for x
    x = 143,689,668,827.16/432,002.06
  6. Step 6: Final answer
    x = 332,613.39

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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.