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Finding the Fourth Proportional to 488,132.16, 732,715.83 and 432,334.50

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Solution

The fourth proportional to 488,132.16, 732,715.83 and 432,334.50 is: 648,960.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,132.16 : 732,715.83 = 432,334.50 : x
  2. Step 2: Convert to fraction form
    488,132.16/732,715.83 = 432,334.50/x
  3. Step 3: Cross multiply
    488,132.16x = 732,715.83 × 432,334.50
  4. Step 4: Simplify right side
    488,132.16x = 316,778,332,005.14
  5. Step 5: Solve for x
    x = 316,778,332,005.14/488,132.16
  6. Step 6: Final answer
    x = 648,960.18

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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.