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Finding the Fourth Proportional to 291,834.40, 402,737.68 and 164,509.96

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Solution

The fourth proportional to 291,834.40, 402,737.68 and 164,509.96 is: 227,027.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,834.40 : 402,737.68 = 164,509.96 : x
  2. Step 2: Convert to fraction form
    291,834.40/402,737.68 = 164,509.96/x
  3. Step 3: Cross multiply
    291,834.40x = 402,737.68 × 164,509.96
  4. Step 4: Simplify right side
    291,834.40x = 66,254,359,627.29
  5. Step 5: Solve for x
    x = 66,254,359,627.29/291,834.40
  6. Step 6: Final answer
    x = 227,027.24

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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.