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Finding the Fourth Proportional to 417,006.96, 575,463.35 and 235,712.52

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Solution

The fourth proportional to 417,006.96, 575,463.35 and 235,712.52 is: 325,279.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,006.96 : 575,463.35 = 235,712.52 : x
  2. Step 2: Convert to fraction form
    417,006.96/575,463.35 = 235,712.52/x
  3. Step 3: Cross multiply
    417,006.96x = 575,463.35 × 235,712.52
  4. Step 4: Simplify right side
    417,006.96x = 135,643,915,217.58
  5. Step 5: Solve for x
    x = 135,643,915,217.58/417,006.96
  6. Step 6: Final answer
    x = 325,279.74

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1.5x scale

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.