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Finding the Fourth Proportional to 411,265.98, 567,543.16 and 229,975.83

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Solution

The fourth proportional to 411,265.98, 567,543.16 and 229,975.83 is: 317,364.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,265.98 : 567,543.16 = 229,975.83 : x
  2. Step 2: Convert to fraction form
    411,265.98/567,543.16 = 229,975.83/x
  3. Step 3: Cross multiply
    411,265.98x = 567,543.16 × 229,975.83
  4. Step 4: Simplify right side
    411,265.98x = 130,521,205,869.17
  5. Step 5: Solve for x
    x = 130,521,205,869.17/411,265.98
  6. Step 6: Final answer
    x = 317,364.46

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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.