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Finding the Fourth Proportional to 423,844.38, 584,881.02 and 232,853.94

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Solution

The fourth proportional to 423,844.38, 584,881.02 and 232,853.94 is: 321,325.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,844.38 : 584,881.02 = 232,853.94 : x
  2. Step 2: Convert to fraction form
    423,844.38/584,881.02 = 232,853.94/x
  3. Step 3: Cross multiply
    423,844.38x = 584,881.02 × 232,853.94
  4. Step 4: Simplify right side
    423,844.38x = 136,191,849,938.22
  5. Step 5: Solve for x
    x = 136,191,849,938.22/423,844.38
  6. Step 6: Final answer
    x = 321,325.13

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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.