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Finding the Fourth Proportional to 512,341.68, 707,091.48 and 426,148.59

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Solution

The fourth proportional to 512,341.68, 707,091.48 and 426,148.59 is: 588,134.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,341.68 : 707,091.48 = 426,148.59 : x
  2. Step 2: Convert to fraction form
    512,341.68/707,091.48 = 426,148.59/x
  3. Step 3: Cross multiply
    512,341.68x = 707,091.48 × 426,148.59
  4. Step 4: Simplify right side
    512,341.68x = 301,326,037,203.01
  5. Step 5: Solve for x
    x = 301,326,037,203.01/512,341.68
  6. Step 6: Final answer
    x = 588,134.93

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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.