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Finding the Fourth Proportional to 275,443.20, 413,164.80 and 213,158.40

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Solution

The fourth proportional to 275,443.20, 413,164.80 and 213,158.40 is: 319,737.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,443.20 : 413,164.80 = 213,158.40 : x
  2. Step 2: Convert to fraction form
    275,443.20/413,164.80 = 213,158.40/x
  3. Step 3: Cross multiply
    275,443.20x = 413,164.80 × 213,158.40
  4. Step 4: Simplify right side
    275,443.20x = 88,069,547,704.32
  5. Step 5: Solve for x
    x = 88,069,547,704.32/275,443.20
  6. Step 6: Final answer
    x = 319,737.60

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1.5x scale

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.