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Finding the Fourth Proportional to 291,658.49, 402,530.42 and 164,345.93

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Solution

The fourth proportional to 291,658.49, 402,530.42 and 164,345.93 is: 226,820.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,658.49 : 402,530.42 = 164,345.93 : x
  2. Step 2: Convert to fraction form
    291,658.49/402,530.42 = 164,345.93/x
  3. Step 3: Cross multiply
    291,658.49x = 402,530.42 × 164,345.93
  4. Step 4: Simplify right side
    291,658.49x = 66,154,236,228.19
  5. Step 5: Solve for x
    x = 66,154,236,228.19/291,658.49
  6. Step 6: Final answer
    x = 226,820.88

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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.