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Finding the Fourth Proportional to 488,343.76, 732,765.71 and 232,465.91

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Solution

The fourth proportional to 488,343.76, 732,765.71 and 232,465.91 is: 348,817.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,343.76 : 732,765.71 = 232,465.91 : x
  2. Step 2: Convert to fraction form
    488,343.76/732,765.71 = 232,465.91/x
  3. Step 3: Cross multiply
    488,343.76x = 732,765.71 × 232,465.91
  4. Step 4: Simplify right side
    488,343.76x = 170,343,044,509.28
  5. Step 5: Solve for x
    x = 170,343,044,509.28/488,343.76
  6. Step 6: Final answer
    x = 348,817.90

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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.