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Finding the Fourth Proportional to 471,337.68, 650,435.32 and 256,478.32

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Solution

The fourth proportional to 471,337.68, 650,435.32 and 256,478.32 is: 353,934.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,337.68 : 650,435.32 = 256,478.32 : x
  2. Step 2: Convert to fraction form
    471,337.68/650,435.32 = 256,478.32/x
  3. Step 3: Cross multiply
    471,337.68x = 650,435.32 × 256,478.32
  4. Step 4: Simplify right side
    471,337.68x = 166,822,558,142.26
  5. Step 5: Solve for x
    x = 166,822,558,142.26/471,337.68
  6. Step 6: Final answer
    x = 353,934.27

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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.