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Finding the Fourth Proportional to 413,292.36, 619,346.52 and 235,432.11

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Solution

The fourth proportional to 413,292.36, 619,346.52 and 235,432.11 is: 352,810.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,292.36 : 619,346.52 = 235,432.11 : x
  2. Step 2: Convert to fraction form
    413,292.36/619,346.52 = 235,432.11/x
  3. Step 3: Cross multiply
    413,292.36x = 619,346.52 × 235,432.11
  4. Step 4: Simplify right side
    413,292.36x = 145,814,058,024.76
  5. Step 5: Solve for x
    x = 145,814,058,024.76/413,292.36
  6. Step 6: Final answer
    x = 352,810.92

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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.