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Finding the Fourth Proportional to 291,155.48, 402,013.56 and 286,505.34

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Solution

The fourth proportional to 291,155.48, 402,013.56 and 286,505.34 is: 395,592.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,155.48 : 402,013.56 = 286,505.34 : x
  2. Step 2: Convert to fraction form
    291,155.48/402,013.56 = 286,505.34/x
  3. Step 3: Cross multiply
    291,155.48x = 402,013.56 × 286,505.34
  4. Step 4: Simplify right side
    291,155.48x = 115,179,031,692.41
  5. Step 5: Solve for x
    x = 115,179,031,692.41/291,155.48
  6. Step 6: Final answer
    x = 395,592.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.