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Finding the Fourth Proportional to 383,411.40, 575,117.10 and 342,077.10

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Solution

The fourth proportional to 383,411.40, 575,117.10 and 342,077.10 is: 513,115.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,411.40 : 575,117.10 = 342,077.10 : x
  2. Step 2: Convert to fraction form
    383,411.40/575,117.10 = 342,077.10/x
  3. Step 3: Cross multiply
    383,411.40x = 575,117.10 × 342,077.10
  4. Step 4: Simplify right side
    383,411.40x = 196,734,389,728.41
  5. Step 5: Solve for x
    x = 196,734,389,728.41/383,411.40
  6. Step 6: Final answer
    x = 513,115.65

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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.