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Finding the Fourth Proportional to 296,746.66, 409,510.65 and 162,610.66

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Solution

The fourth proportional to 296,746.66, 409,510.65 and 162,610.66 is: 224,402.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,746.66 : 409,510.65 = 162,610.66 : x
  2. Step 2: Convert to fraction form
    296,746.66/409,510.65 = 162,610.66/x
  3. Step 3: Cross multiply
    296,746.66x = 409,510.65 × 162,610.66
  4. Step 4: Simplify right side
    296,746.66x = 66,590,797,073.53
  5. Step 5: Solve for x
    x = 66,590,797,073.53/296,746.66
  6. Step 6: Final answer
    x = 224,402.85

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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.