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Finding the Fourth Proportional to 575,234.40, 863,024.40 and 409,346.40

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Solution

The fourth proportional to 575,234.40, 863,024.40 and 409,346.40 is: 614,142.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,234.40 : 863,024.40 = 409,346.40 : x
  2. Step 2: Convert to fraction form
    575,234.40/863,024.40 = 409,346.40/x
  3. Step 3: Cross multiply
    575,234.40x = 863,024.40 × 409,346.40
  4. Step 4: Simplify right side
    575,234.40x = 353,275,931,252.16
  5. Step 5: Solve for x
    x = 353,275,931,252.16/575,234.40
  6. Step 6: Final answer
    x = 614,142.57

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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.