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Finding the Fourth Proportional to 424,354.38, 585,597.35 and 233,367.77

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Solution

The fourth proportional to 424,354.38, 585,597.35 and 233,367.77 is: 322,041.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,354.38 : 585,597.35 = 233,367.77 : x
  2. Step 2: Convert to fraction form
    424,354.38/585,597.35 = 233,367.77/x
  3. Step 3: Cross multiply
    424,354.38x = 585,597.35 × 233,367.77
  4. Step 4: Simplify right side
    424,354.38x = 136,659,547,687.41
  5. Step 5: Solve for x
    x = 136,659,547,687.41/424,354.38
  6. Step 6: Final answer
    x = 322,041.09

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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.