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Finding the Fourth Proportional to 564,619.57, 846,750.88 and 185,478.01

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Solution

The fourth proportional to 564,619.57, 846,750.88 and 185,478.01 is: 278,158.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,619.57 : 846,750.88 = 185,478.01 : x
  2. Step 2: Convert to fraction form
    564,619.57/846,750.88 = 185,478.01/x
  3. Step 3: Cross multiply
    564,619.57x = 846,750.88 × 185,478.01
  4. Step 4: Simplify right side
    564,619.57x = 157,053,663,027.00
  5. Step 5: Solve for x
    x = 157,053,663,027.00/564,619.57
  6. Step 6: Final answer
    x = 278,158.38

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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.