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Finding the Fourth Proportional to 542,292.30, 813,438.45 and 402,324.30

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Solution

The fourth proportional to 542,292.30, 813,438.45 and 402,324.30 is: 603,486.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,292.30 : 813,438.45 = 402,324.30 : x
  2. Step 2: Convert to fraction form
    542,292.30/813,438.45 = 402,324.30/x
  3. Step 3: Cross multiply
    542,292.30x = 813,438.45 × 402,324.30
  4. Step 4: Simplify right side
    542,292.30x = 327,266,054,989.34
  5. Step 5: Solve for x
    x = 327,266,054,989.34/542,292.30
  6. Step 6: Final answer
    x = 603,486.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.