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Finding the Fourth Proportional to 472,347.60, 708,448.35 and 172,758.12

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Solution

The fourth proportional to 472,347.60, 708,448.35 and 172,758.12 is: 259,110.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,347.60 : 708,448.35 = 172,758.12 : x
  2. Step 2: Convert to fraction form
    472,347.60/708,448.35 = 172,758.12/x
  3. Step 3: Cross multiply
    472,347.60x = 708,448.35 × 172,758.12
  4. Step 4: Simplify right side
    472,347.60x = 122,390,205,063.10
  5. Step 5: Solve for x
    x = 122,390,205,063.10/472,347.60
  6. Step 6: Final answer
    x = 259,110.46

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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.