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Finding the Fourth Proportional to 542,895.96, 749,197.29 and 301,178.53

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Solution

The fourth proportional to 542,895.96, 749,197.29 and 301,178.53 is: 415,626.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,895.96 : 749,197.29 = 301,178.53 : x
  2. Step 2: Convert to fraction form
    542,895.96/749,197.29 = 301,178.53/x
  3. Step 3: Cross multiply
    542,895.96x = 749,197.29 × 301,178.53
  4. Step 4: Simplify right side
    542,895.96x = 225,642,138,482.18
  5. Step 5: Solve for x
    x = 225,642,138,482.18/542,895.96
  6. Step 6: Final answer
    x = 415,626.85

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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.