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Finding the Fourth Proportional to 402,428.20, 603,642.30 and 202,671.40

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Solution

The fourth proportional to 402,428.20, 603,642.30 and 202,671.40 is: 304,007.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,428.20 : 603,642.30 = 202,671.40 : x
  2. Step 2: Convert to fraction form
    402,428.20/603,642.30 = 202,671.40/x
  3. Step 3: Cross multiply
    402,428.20x = 603,642.30 × 202,671.40
  4. Step 4: Simplify right side
    402,428.20x = 122,341,030,040.22
  5. Step 5: Solve for x
    x = 122,341,030,040.22/402,428.20
  6. Step 6: Final answer
    x = 304,007.10

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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.