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Finding the Fourth Proportional to 320,486.38, 442,253.32 and 175,263.50

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Solution

The fourth proportional to 320,486.38, 442,253.32 and 175,263.50 is: 241,853.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,486.38 : 442,253.32 = 175,263.50 : x
  2. Step 2: Convert to fraction form
    320,486.38/442,253.32 = 175,263.50/x
  3. Step 3: Cross multiply
    320,486.38x = 442,253.32 × 175,263.50
  4. Step 4: Simplify right side
    320,486.38x = 77,510,865,417.29
  5. Step 5: Solve for x
    x = 77,510,865,417.29/320,486.38
  6. Step 6: Final answer
    x = 241,853.85

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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.