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Finding the Fourth Proportional to 280,565.80, 420,848.70 and 230,702.20

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Solution

The fourth proportional to 280,565.80, 420,848.70 and 230,702.20 is: 346,053.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,565.80 : 420,848.70 = 230,702.20 : x
  2. Step 2: Convert to fraction form
    280,565.80/420,848.70 = 230,702.20/x
  3. Step 3: Cross multiply
    280,565.80x = 420,848.70 × 230,702.20
  4. Step 4: Simplify right side
    280,565.80x = 97,090,720,957.14
  5. Step 5: Solve for x
    x = 97,090,720,957.14/280,565.80
  6. Step 6: Final answer
    x = 346,053.30

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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.