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Finding the Fourth Proportional to 538,411.10, 807,616.65 and 164,434.10

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Solution

The fourth proportional to 538,411.10, 807,616.65 and 164,434.10 is: 246,651.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,411.10 : 807,616.65 = 164,434.10 : x
  2. Step 2: Convert to fraction form
    538,411.10/807,616.65 = 164,434.10/x
  3. Step 3: Cross multiply
    538,411.10x = 807,616.65 × 164,434.10
  4. Step 4: Simplify right side
    538,411.10x = 132,799,716,987.77
  5. Step 5: Solve for x
    x = 132,799,716,987.77/538,411.10
  6. Step 6: Final answer
    x = 246,651.15

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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.