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Finding the Fourth Proportional to 415,022.58, 572,774.22 and 253,984.86

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Solution

The fourth proportional to 415,022.58, 572,774.22 and 253,984.86 is: 350,525.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,022.58 : 572,774.22 = 253,984.86 : x
  2. Step 2: Convert to fraction form
    415,022.58/572,774.22 = 253,984.86/x
  3. Step 3: Cross multiply
    415,022.58x = 572,774.22 × 253,984.86
  4. Step 4: Simplify right side
    415,022.58x = 145,475,980,078.31
  5. Step 5: Solve for x
    x = 145,475,980,078.31/415,022.58
  6. Step 6: Final answer
    x = 350,525.46

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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.