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Finding the Fourth Proportional to 290,227.20, 400,597.28 and 175,506

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Solution

The fourth proportional to 290,227.20, 400,597.28 and 175,506 is: 242,248.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,227.20 : 400,597.28 = 175,506 : x
  2. Step 2: Convert to fraction form
    290,227.20/400,597.28 = 175,506/x
  3. Step 3: Cross multiply
    290,227.20x = 400,597.28 × 175,506
  4. Step 4: Simplify right side
    290,227.20x = 70,307,226,223.68
  5. Step 5: Solve for x
    x = 70,307,226,223.68/290,227.20
  6. Step 6: Final answer
    x = 242,248.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.