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Finding the Fourth Proportional to 280,773.12, 387,466 and 153,448.68

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Solution

The fourth proportional to 280,773.12, 387,466 and 153,448.68 is: 211,758.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,773.12 : 387,466 = 153,448.68 : x
  2. Step 2: Convert to fraction form
    280,773.12/387,466 = 153,448.68/x
  3. Step 3: Cross multiply
    280,773.12x = 387,466 × 153,448.68
  4. Step 4: Simplify right side
    280,773.12x = 59,456,146,244.88
  5. Step 5: Solve for x
    x = 59,456,146,244.88/280,773.12
  6. Step 6: Final answer
    x = 211,758.68

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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.