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Finding the Fourth Proportional to 375,702.56, 563,738.65 and 175,988.42

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Solution

The fourth proportional to 375,702.56, 563,738.65 and 175,988.42 is: 264,069.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,702.56 : 563,738.65 = 175,988.42 : x
  2. Step 2: Convert to fraction form
    375,702.56/563,738.65 = 175,988.42/x
  3. Step 3: Cross multiply
    375,702.56x = 563,738.65 × 175,988.42
  4. Step 4: Simplify right side
    375,702.56x = 99,211,474,306.43
  5. Step 5: Solve for x
    x = 99,211,474,306.43/375,702.56
  6. Step 6: Final answer
    x = 264,069.20

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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.