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Finding the Fourth Proportional to 495,545.76, 743,408.24 and 180,444.96

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Solution

The fourth proportional to 495,545.76, 743,408.24 and 180,444.96 is: 270,700.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,545.76 : 743,408.24 = 180,444.96 : x
  2. Step 2: Convert to fraction form
    495,545.76/743,408.24 = 180,444.96/x
  3. Step 3: Cross multiply
    495,545.76x = 743,408.24 × 180,444.96
  4. Step 4: Simplify right side
    495,545.76x = 134,144,270,130.47
  5. Step 5: Solve for x
    x = 134,144,270,130.47/495,545.76
  6. Step 6: Final answer
    x = 270,700.07

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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.