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Finding the Fourth Proportional to 398,152.55, 597,234.29 and 264,075.78

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Solution

The fourth proportional to 398,152.55, 597,234.29 and 264,075.78 is: 396,117.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,152.55 : 597,234.29 = 264,075.78 : x
  2. Step 2: Convert to fraction form
    398,152.55/597,234.29 = 264,075.78/x
  3. Step 3: Cross multiply
    398,152.55x = 597,234.29 × 264,075.78
  4. Step 4: Simplify right side
    398,152.55x = 157,715,110,974.50
  5. Step 5: Solve for x
    x = 157,715,110,974.50/398,152.55
  6. Step 6: Final answer
    x = 396,117.29

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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.