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Finding the Fourth Proportional to 375,638.09, 563,642.12 and 175,923.98

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Solution

The fourth proportional to 375,638.09, 563,642.12 and 175,923.98 is: 263,972.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,638.09 : 563,642.12 = 175,923.98 : x
  2. Step 2: Convert to fraction form
    375,638.09/563,642.12 = 175,923.98/x
  3. Step 3: Cross multiply
    375,638.09x = 563,642.12 × 175,923.98
  4. Step 4: Simplify right side
    375,638.09x = 99,158,165,575.52
  5. Step 5: Solve for x
    x = 99,158,165,575.52/375,638.09
  6. Step 6: Final answer
    x = 263,972.60

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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.