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Finding the Fourth Proportional to 296,497.60, 408,999.65 and 187,568.14

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Solution

The fourth proportional to 296,497.60, 408,999.65 and 187,568.14 is: 258,738.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,497.60 : 408,999.65 = 187,568.14 : x
  2. Step 2: Convert to fraction form
    296,497.60/408,999.65 = 187,568.14/x
  3. Step 3: Cross multiply
    296,497.60x = 408,999.65 × 187,568.14
  4. Step 4: Simplify right side
    296,497.60x = 76,715,302,417.69
  5. Step 5: Solve for x
    x = 76,715,302,417.69/296,497.60
  6. Step 6: Final answer
    x = 258,738.36

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1.5x scale

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.