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Finding the Fourth Proportional to 488,141.40, 732,212.10 and 299,184.60

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Solution

The fourth proportional to 488,141.40, 732,212.10 and 299,184.60 is: 448,776.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,141.40 : 732,212.10 = 299,184.60 : x
  2. Step 2: Convert to fraction form
    488,141.40/732,212.10 = 299,184.60/x
  3. Step 3: Cross multiply
    488,141.40x = 732,212.10 × 299,184.60
  4. Step 4: Simplify right side
    488,141.40x = 219,066,584,253.66
  5. Step 5: Solve for x
    x = 219,066,584,253.66/488,141.40
  6. Step 6: Final answer
    x = 448,776.90

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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.