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Finding the Fourth Proportional to 514,354.39, 709,726.37 and 323,232.46

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Solution

The fourth proportional to 514,354.39, 709,726.37 and 323,232.46 is: 446,008.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,354.39 : 709,726.37 = 323,232.46 : x
  2. Step 2: Convert to fraction form
    514,354.39/709,726.37 = 323,232.46/x
  3. Step 3: Cross multiply
    514,354.39x = 709,726.37 × 323,232.46
  4. Step 4: Simplify right side
    514,354.39x = 229,406,597,111.49
  5. Step 5: Solve for x
    x = 229,406,597,111.49/514,354.39
  6. Step 6: Final answer
    x = 446,008.83

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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.