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Finding the Fourth Proportional to 280,565.60, 420,848.40 and 140,273.60

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Solution

The fourth proportional to 280,565.60, 420,848.40 and 140,273.60 is: 210,410.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,565.60 : 420,848.40 = 140,273.60 : x
  2. Step 2: Convert to fraction form
    280,565.60/420,848.40 = 140,273.60/x
  3. Step 3: Cross multiply
    280,565.60x = 420,848.40 × 140,273.60
  4. Step 4: Simplify right side
    280,565.60x = 59,033,920,122.24
  5. Step 5: Solve for x
    x = 59,033,920,122.24/280,565.60
  6. Step 6: Final answer
    x = 210,410.40

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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.