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Finding the Fourth Proportional to 375,642.76, 563,529.75 and 165,275.23

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Solution

The fourth proportional to 375,642.76, 563,529.75 and 165,275.23 is: 247,941.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,642.76 : 563,529.75 = 165,275.23 : x
  2. Step 2: Convert to fraction form
    375,642.76/563,529.75 = 165,275.23/x
  3. Step 3: Cross multiply
    375,642.76x = 563,529.75 × 165,275.23
  4. Step 4: Simplify right side
    375,642.76x = 93,137,506,951.01
  5. Step 5: Solve for x
    x = 93,137,506,951.01/375,642.76
  6. Step 6: Final answer
    x = 247,941.71

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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.