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Finding the Fourth Proportional to 360,749, 497,832 and 207,731.36

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Solution

The fourth proportional to 360,749, 497,832 and 207,731.36 is: 286,668.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,749 : 497,832 = 207,731.36 : x
  2. Step 2: Convert to fraction form
    360,749/497,832 = 207,731.36/x
  3. Step 3: Cross multiply
    360,749x = 497,832 × 207,731.36
  4. Step 4: Simplify right side
    360,749x = 103,415,318,411.52
  5. Step 5: Solve for x
    x = 103,415,318,411.52/360,749
  6. Step 6: Final answer
    x = 286,668.34

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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.