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Finding the Fourth Proportional to 488,176.40, 732,197.10 and 151,448.60

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Solution

The fourth proportional to 488,176.40, 732,197.10 and 151,448.60 is: 227,151.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,176.40 : 732,197.10 = 151,448.60 : x
  2. Step 2: Convert to fraction form
    488,176.40/732,197.10 = 151,448.60/x
  3. Step 3: Cross multiply
    488,176.40x = 732,197.10 × 151,448.60
  4. Step 4: Simplify right side
    488,176.40x = 110,890,225,719.06
  5. Step 5: Solve for x
    x = 110,890,225,719.06/488,176.40
  6. Step 6: Final answer
    x = 227,151.96

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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.