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Finding the Fourth Proportional to 376,907.88, 565,140.42 and 152,275.44

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Solution

The fourth proportional to 376,907.88, 565,140.42 and 152,275.44 is: 228,323.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,907.88 : 565,140.42 = 152,275.44 : x
  2. Step 2: Convert to fraction form
    376,907.88/565,140.42 = 152,275.44/x
  3. Step 3: Cross multiply
    376,907.88x = 565,140.42 × 152,275.44
  4. Step 4: Simplify right side
    376,907.88x = 86,057,006,117.28
  5. Step 5: Solve for x
    x = 86,057,006,117.28/376,907.88
  6. Step 6: Final answer
    x = 228,323.71

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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.