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Finding the Fourth Proportional to 425,470.20, 638,205.30 and 284,465.40

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Solution

The fourth proportional to 425,470.20, 638,205.30 and 284,465.40 is: 426,698.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,470.20 : 638,205.30 = 284,465.40 : x
  2. Step 2: Convert to fraction form
    425,470.20/638,205.30 = 284,465.40/x
  3. Step 3: Cross multiply
    425,470.20x = 638,205.30 × 284,465.40
  4. Step 4: Simplify right side
    425,470.20x = 181,547,325,946.62
  5. Step 5: Solve for x
    x = 181,547,325,946.62/425,470.20
  6. Step 6: Final answer
    x = 426,698.10

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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.