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Finding the Fourth Proportional to 491,114.40, 735,980.40 and 363,760.80

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Solution

The fourth proportional to 491,114.40, 735,980.40 and 363,760.80 is: 545,129.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,114.40 : 735,980.40 = 363,760.80 : x
  2. Step 2: Convert to fraction form
    491,114.40/735,980.40 = 363,760.80/x
  3. Step 3: Cross multiply
    491,114.40x = 735,980.40 × 363,760.80
  4. Step 4: Simplify right side
    491,114.40x = 267,720,819,088.32
  5. Step 5: Solve for x
    x = 267,720,819,088.32/491,114.40
  6. Step 6: Final answer
    x = 545,129.24

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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.