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Finding the Fourth Proportional to 376,908.38, 565,141.17 and 152,275.94

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Solution

The fourth proportional to 376,908.38, 565,141.17 and 152,275.94 is: 228,324.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,908.38 : 565,141.17 = 152,275.94 : x
  2. Step 2: Convert to fraction form
    376,908.38/565,141.17 = 152,275.94/x
  3. Step 3: Cross multiply
    376,908.38x = 565,141.17 × 152,275.94
  4. Step 4: Simplify right side
    376,908.38x = 86,057,402,894.45
  5. Step 5: Solve for x
    x = 86,057,402,894.45/376,908.38
  6. Step 6: Final answer
    x = 228,324.46

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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.