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Finding the Fourth Proportional to 292,653.67, 438,980.66 and 82,291.61

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Solution

The fourth proportional to 292,653.67, 438,980.66 and 82,291.61 is: 123,437.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,653.67 : 438,980.66 = 82,291.61 : x
  2. Step 2: Convert to fraction form
    292,653.67/438,980.66 = 82,291.61/x
  3. Step 3: Cross multiply
    292,653.67x = 438,980.66 × 82,291.61
  4. Step 4: Simplify right side
    292,653.67x = 36,124,425,270.26
  5. Step 5: Solve for x
    x = 36,124,425,270.26/292,653.67
  6. Step 6: Final answer
    x = 123,437.46

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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.