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Finding the Fourth Proportional to 564,472.56, 846,365.40 and 239,878.02

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Solution

The fourth proportional to 564,472.56, 846,365.40 and 239,878.02 is: 359,671.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,472.56 : 846,365.40 = 239,878.02 : x
  2. Step 2: Convert to fraction form
    564,472.56/846,365.40 = 239,878.02/x
  3. Step 3: Cross multiply
    564,472.56x = 846,365.40 × 239,878.02
  4. Step 4: Simplify right side
    564,472.56x = 203,024,456,348.51
  5. Step 5: Solve for x
    x = 203,024,456,348.51/564,472.56
  6. Step 6: Final answer
    x = 359,671.08

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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.