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Finding the Fourth Proportional to 291,323.63, 402,064.93 and 164,024.03

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Solution

The fourth proportional to 291,323.63, 402,064.93 and 164,024.03 is: 226,374.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,323.63 : 402,064.93 = 164,024.03 : x
  2. Step 2: Convert to fraction form
    291,323.63/402,064.93 = 164,024.03/x
  3. Step 3: Cross multiply
    291,323.63x = 402,064.93 × 164,024.03
  4. Step 4: Simplify right side
    291,323.63x = 65,948,311,350.46
  5. Step 5: Solve for x
    x = 65,948,311,350.46/291,323.63
  6. Step 6: Final answer
    x = 226,374.74

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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.