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Finding the Fourth Proportional to 538,746, 808,123.05 and 239,146.04

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Solution

The fourth proportional to 538,746, 808,123.05 and 239,146.04 is: 358,720.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,746 : 808,123.05 = 239,146.04 : x
  2. Step 2: Convert to fraction form
    538,746/808,123.05 = 239,146.04/x
  3. Step 3: Cross multiply
    538,746x = 808,123.05 × 239,146.04
  4. Step 4: Simplify right side
    538,746x = 193,259,423,199.61
  5. Step 5: Solve for x
    x = 193,259,423,199.61/538,746
  6. Step 6: Final answer
    x = 358,720.85

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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.