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Finding the Fourth Proportional to 472,046.13, 708,130.95 and 172,667.70

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Solution

The fourth proportional to 472,046.13, 708,130.95 and 172,667.70 is: 259,024.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,046.13 : 708,130.95 = 172,667.70 : x
  2. Step 2: Convert to fraction form
    472,046.13/708,130.95 = 172,667.70/x
  3. Step 3: Cross multiply
    472,046.13x = 708,130.95 × 172,667.70
  4. Step 4: Simplify right side
    472,046.13x = 122,271,342,435.32
  5. Step 5: Solve for x
    x = 122,271,342,435.32/472,046.13
  6. Step 6: Final answer
    x = 259,024.14

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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.