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Finding the Fourth Proportional to 524,014.60, 785,147.10 and 448,781.80

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Solution

The fourth proportional to 524,014.60, 785,147.10 and 448,781.80 is: 672,423.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,014.60 : 785,147.10 = 448,781.80 : x
  2. Step 2: Convert to fraction form
    524,014.60/785,147.10 = 448,781.80/x
  3. Step 3: Cross multiply
    524,014.60x = 785,147.10 × 448,781.80
  4. Step 4: Simplify right side
    524,014.60x = 352,359,728,802.78
  5. Step 5: Solve for x
    x = 352,359,728,802.78/524,014.60
  6. Step 6: Final answer
    x = 672,423.50

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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.