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Finding the Fourth Proportional to 377,156.96, 565,680.11 and 152,512.43

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Solution

The fourth proportional to 377,156.96, 565,680.11 and 152,512.43 is: 228,746.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,156.96 : 565,680.11 = 152,512.43 : x
  2. Step 2: Convert to fraction form
    377,156.96/565,680.11 = 152,512.43/x
  3. Step 3: Cross multiply
    377,156.96x = 565,680.11 × 152,512.43
  4. Step 4: Simplify right side
    377,156.96x = 86,273,249,974.25
  5. Step 5: Solve for x
    x = 86,273,249,974.25/377,156.96
  6. Step 6: Final answer
    x = 228,746.28

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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.