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Finding the Fourth Proportional to 313,276.92, 432,322.80 and 185,978.04

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Solution

The fourth proportional to 313,276.92, 432,322.80 and 185,978.04 is: 256,650.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,276.92 : 432,322.80 = 185,978.04 : x
  2. Step 2: Convert to fraction form
    313,276.92/432,322.80 = 185,978.04/x
  3. Step 3: Cross multiply
    313,276.92x = 432,322.80 × 185,978.04
  4. Step 4: Simplify right side
    313,276.92x = 80,402,546,991.31
  5. Step 5: Solve for x
    x = 80,402,546,991.31/313,276.92
  6. Step 6: Final answer
    x = 256,650.08

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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.