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Finding the Fourth Proportional to 466,090.62, 643,293.49 and 291,741.73

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Solution

The fourth proportional to 466,090.62, 643,293.49 and 291,741.73 is: 402,658.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,090.62 : 643,293.49 = 291,741.73 : x
  2. Step 2: Convert to fraction form
    466,090.62/643,293.49 = 291,741.73/x
  3. Step 3: Cross multiply
    466,090.62x = 643,293.49 × 291,741.73
  4. Step 4: Simplify right side
    466,090.62x = 187,675,554,700.29
  5. Step 5: Solve for x
    x = 187,675,554,700.29/466,090.62
  6. Step 6: Final answer
    x = 402,658.94

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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.