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Finding the Fourth Proportional to 578,890.40, 866,492.40 and 413,002.40

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Solution

The fourth proportional to 578,890.40, 866,492.40 and 413,002.40 is: 618,188.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,890.40 : 866,492.40 = 413,002.40 : x
  2. Step 2: Convert to fraction form
    578,890.40/866,492.40 = 413,002.40/x
  3. Step 3: Cross multiply
    578,890.40x = 866,492.40 × 413,002.40
  4. Step 4: Simplify right side
    578,890.40x = 357,863,440,781.76
  5. Step 5: Solve for x
    x = 357,863,440,781.76/578,890.40
  6. Step 6: Final answer
    x = 618,188.59

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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.