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Finding the Fourth Proportional to 545,781.48, 753,113.13 and 313,196.49

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Solution

The fourth proportional to 545,781.48, 753,113.13 and 313,196.49 is: 432,173.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,781.48 : 753,113.13 = 313,196.49 : x
  2. Step 2: Convert to fraction form
    545,781.48/753,113.13 = 313,196.49/x
  3. Step 3: Cross multiply
    545,781.48x = 753,113.13 × 313,196.49
  4. Step 4: Simplify right side
    545,781.48x = 235,872,388,888.91
  5. Step 5: Solve for x
    x = 235,872,388,888.91/545,781.48
  6. Step 6: Final answer
    x = 432,173.68

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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.