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Finding the Fourth Proportional to 546,952.64, 820,525.30 and 187,038.88

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Solution

The fourth proportional to 546,952.64, 820,525.30 and 187,038.88 is: 280,591.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,952.64 : 820,525.30 = 187,038.88 : x
  2. Step 2: Convert to fraction form
    546,952.64/820,525.30 = 187,038.88/x
  3. Step 3: Cross multiply
    546,952.64x = 820,525.30 × 187,038.88
  4. Step 4: Simplify right side
    546,952.64x = 153,470,133,123.66
  5. Step 5: Solve for x
    x = 153,470,133,123.66/546,952.64
  6. Step 6: Final answer
    x = 280,591.26

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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.