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Finding the Fourth Proportional to 280,958.10, 387,716.28 and 153,633.60

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Solution

The fourth proportional to 280,958.10, 387,716.28 and 153,633.60 is: 212,011.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,958.10 : 387,716.28 = 153,633.60 : x
  2. Step 2: Convert to fraction form
    280,958.10/387,716.28 = 153,633.60/x
  3. Step 3: Cross multiply
    280,958.10x = 387,716.28 × 153,633.60
  4. Step 4: Simplify right side
    280,958.10x = 59,566,247,875.01
  5. Step 5: Solve for x
    x = 59,566,247,875.01/280,958.10
  6. Step 6: Final answer
    x = 212,011.14

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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.