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Finding the Fourth Proportional to 411,030.20, 616,253.70 and 186,498.20

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Solution

The fourth proportional to 411,030.20, 616,253.70 and 186,498.20 is: 279,614.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,030.20 : 616,253.70 = 186,498.20 : x
  2. Step 2: Convert to fraction form
    411,030.20/616,253.70 = 186,498.20/x
  3. Step 3: Cross multiply
    411,030.20x = 616,253.70 × 186,498.20
  4. Step 4: Simplify right side
    411,030.20x = 114,930,205,793.34
  5. Step 5: Solve for x
    x = 114,930,205,793.34/411,030.20
  6. Step 6: Final answer
    x = 279,614.99

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1.5x scale

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.