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Finding the Fourth Proportional to 398,417.12, 549,801.64 and 217,125.36

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Solution

The fourth proportional to 398,417.12, 549,801.64 and 217,125.36 is: 299,625.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,417.12 : 549,801.64 = 217,125.36 : x
  2. Step 2: Convert to fraction form
    398,417.12/549,801.64 = 217,125.36/x
  3. Step 3: Cross multiply
    398,417.12x = 549,801.64 × 217,125.36
  4. Step 4: Simplify right side
    398,417.12x = 119,375,879,013.59
  5. Step 5: Solve for x
    x = 119,375,879,013.59/398,417.12
  6. Step 6: Final answer
    x = 299,625.38

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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.