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Finding the Fourth Proportional to 506,605.82, 759,627.93 and 207,296.24

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Solution

The fourth proportional to 506,605.82, 759,627.93 and 207,296.24 is: 310,829.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,605.82 : 759,627.93 = 207,296.24 : x
  2. Step 2: Convert to fraction form
    506,605.82/759,627.93 = 207,296.24/x
  3. Step 3: Cross multiply
    506,605.82x = 759,627.93 × 207,296.24
  4. Step 4: Simplify right side
    506,605.82x = 157,468,013,687.98
  5. Step 5: Solve for x
    x = 157,468,013,687.98/506,605.82
  6. Step 6: Final answer
    x = 310,829.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.