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Finding the Fourth Proportional to 469,133.96, 647,397.81 and 265,177.71

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Solution

The fourth proportional to 469,133.96, 647,397.81 and 265,177.71 is: 365,941.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,133.96 : 647,397.81 = 265,177.71 : x
  2. Step 2: Convert to fraction form
    469,133.96/647,397.81 = 265,177.71/x
  3. Step 3: Cross multiply
    469,133.96x = 647,397.81 × 265,177.71
  4. Step 4: Simplify right side
    469,133.96x = 171,675,468,714.82
  5. Step 5: Solve for x
    x = 171,675,468,714.82/469,133.96
  6. Step 6: Final answer
    x = 365,941.26

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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.