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Finding the Fourth Proportional to 291,758.46, 402,611.16 and 162,710.19

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Solution

The fourth proportional to 291,758.46, 402,611.16 and 162,710.19 is: 224,531.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,758.46 : 402,611.16 = 162,710.19 : x
  2. Step 2: Convert to fraction form
    291,758.46/402,611.16 = 162,710.19/x
  3. Step 3: Cross multiply
    291,758.46x = 402,611.16 × 162,710.19
  4. Step 4: Simplify right side
    291,758.46x = 65,508,938,339.72
  5. Step 5: Solve for x
    x = 65,508,938,339.72/291,758.46
  6. Step 6: Final answer
    x = 224,531.41

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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.