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Finding the Fourth Proportional to 632,092.64, 872,525.05 and 414,315.35

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Solution

The fourth proportional to 632,092.64, 872,525.05 and 414,315.35 is: 571,910.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,092.64 : 872,525.05 = 414,315.35 : x
  2. Step 2: Convert to fraction form
    632,092.64/872,525.05 = 414,315.35/x
  3. Step 3: Cross multiply
    632,092.64x = 872,525.05 × 414,315.35
  4. Step 4: Simplify right side
    632,092.64x = 361,500,516,076.10
  5. Step 5: Solve for x
    x = 361,500,516,076.10/632,092.64
  6. Step 6: Final answer
    x = 571,910.65

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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.