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Finding the Fourth Proportional to 280,282.98, 386,799.51 and 159,421.16

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Solution

The fourth proportional to 280,282.98, 386,799.51 and 159,421.16 is: 220,006.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,282.98 : 386,799.51 = 159,421.16 : x
  2. Step 2: Convert to fraction form
    280,282.98/386,799.51 = 159,421.16/x
  3. Step 3: Cross multiply
    280,282.98x = 386,799.51 × 159,421.16
  4. Step 4: Simplify right side
    280,282.98x = 61,664,024,637.63
  5. Step 5: Solve for x
    x = 61,664,024,637.63/280,282.98
  6. Step 6: Final answer
    x = 220,006.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.