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Finding the Fourth Proportional to 402,232.40, 599,795.60 and 398,629.52

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Solution

The fourth proportional to 402,232.40, 599,795.60 and 398,629.52 is: 594,423.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,232.40 : 599,795.60 = 398,629.52 : x
  2. Step 2: Convert to fraction form
    402,232.40/599,795.60 = 398,629.52/x
  3. Step 3: Cross multiply
    402,232.40x = 599,795.60 × 398,629.52
  4. Step 4: Simplify right side
    402,232.40x = 239,096,232,126.11
  5. Step 5: Solve for x
    x = 239,096,232,126.11/402,232.40
  6. Step 6: Final answer
    x = 594,423.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.