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Finding the Fourth Proportional to 472,109.16, 708,373.08 and 247,416.18

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Solution

The fourth proportional to 472,109.16, 708,373.08 and 247,416.18 is: 371,233.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,109.16 : 708,373.08 = 247,416.18 : x
  2. Step 2: Convert to fraction form
    472,109.16/708,373.08 = 247,416.18/x
  3. Step 3: Cross multiply
    472,109.16x = 708,373.08 × 247,416.18
  4. Step 4: Simplify right side
    472,109.16x = 175,262,961,468.43
  5. Step 5: Solve for x
    x = 175,262,961,468.43/472,109.16
  6. Step 6: Final answer
    x = 371,233.98

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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.