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Finding the Fourth Proportional to 375,678.30, 563,702.37 and 175,964.16

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Solution

The fourth proportional to 375,678.30, 563,702.37 and 175,964.16 is: 264,032.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,678.30 : 563,702.37 = 175,964.16 : x
  2. Step 2: Convert to fraction form
    375,678.30/563,702.37 = 175,964.16/x
  3. Step 3: Cross multiply
    375,678.30x = 563,702.37 × 175,964.16
  4. Step 4: Simplify right side
    375,678.30x = 99,191,414,027.06
  5. Step 5: Solve for x
    x = 99,191,414,027.06/375,678.30
  6. Step 6: Final answer
    x = 264,032.85

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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.