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Finding the Fourth Proportional to 471,417.68, 650,543.94 and 256,553.16

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Solution

The fourth proportional to 471,417.68, 650,543.94 and 256,553.16 is: 354,036.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,417.68 : 650,543.94 = 256,553.16 : x
  2. Step 2: Convert to fraction form
    471,417.68/650,543.94 = 256,553.16/x
  3. Step 3: Cross multiply
    471,417.68x = 650,543.94 × 256,553.16
  4. Step 4: Simplify right side
    471,417.68x = 166,899,103,525.85
  5. Step 5: Solve for x
    x = 166,899,103,525.85/471,417.68
  6. Step 6: Final answer
    x = 354,036.58

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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.