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Finding the Fourth Proportional to 291,323.76, 402,065.11 and 164,024.16

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Solution

The fourth proportional to 291,323.76, 402,065.11 and 164,024.16 is: 226,374.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,323.76 : 402,065.11 = 164,024.16 : x
  2. Step 2: Convert to fraction form
    291,323.76/402,065.11 = 164,024.16/x
  3. Step 3: Cross multiply
    291,323.76x = 402,065.11 × 164,024.16
  4. Step 4: Simplify right side
    291,323.76x = 65,948,391,933.06
  5. Step 5: Solve for x
    x = 65,948,391,933.06/291,323.76
  6. Step 6: Final answer
    x = 226,374.92

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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.