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Finding the Fourth Proportional to 400,776.76, 601,176.06 and 120,294.04

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Solution

The fourth proportional to 400,776.76, 601,176.06 and 120,294.04 is: 180,444.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,776.76 : 601,176.06 = 120,294.04 : x
  2. Step 2: Convert to fraction form
    400,776.76/601,176.06 = 120,294.04/x
  3. Step 3: Cross multiply
    400,776.76x = 601,176.06 × 120,294.04
  4. Step 4: Simplify right side
    400,776.76x = 72,317,897,008.68
  5. Step 5: Solve for x
    x = 72,317,897,008.68/400,776.76
  6. Step 6: Final answer
    x = 180,444.34

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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.