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Finding the Fourth Proportional to 407,125.20, 610,687.80 and 362,024.40

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Solution

The fourth proportional to 407,125.20, 610,687.80 and 362,024.40 is: 543,036.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,125.20 : 610,687.80 = 362,024.40 : x
  2. Step 2: Convert to fraction form
    407,125.20/610,687.80 = 362,024.40/x
  3. Step 3: Cross multiply
    407,125.20x = 610,687.80 × 362,024.40
  4. Step 4: Simplify right side
    407,125.20x = 221,083,884,382.32
  5. Step 5: Solve for x
    x = 221,083,884,382.32/407,125.20
  6. Step 6: Final answer
    x = 543,036.60

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Why These Related Problems?

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