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Finding the Fourth Proportional to 403,491.40, 605,237.10 and 341,283.40

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Solution

The fourth proportional to 403,491.40, 605,237.10 and 341,283.40 is: 511,925.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,491.40 : 605,237.10 = 341,283.40 : x
  2. Step 2: Convert to fraction form
    403,491.40/605,237.10 = 341,283.40/x
  3. Step 3: Cross multiply
    403,491.40x = 605,237.10 × 341,283.40
  4. Step 4: Simplify right side
    403,491.40x = 206,557,375,294.14
  5. Step 5: Solve for x
    x = 206,557,375,294.14/403,491.40
  6. Step 6: Final answer
    x = 511,925.10

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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.