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Finding the Fourth Proportional to 535,143.36, 738,506.40 and 293,448

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Solution

The fourth proportional to 535,143.36, 738,506.40 and 293,448 is: 404,962.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,143.36 : 738,506.40 = 293,448 : x
  2. Step 2: Convert to fraction form
    535,143.36/738,506.40 = 293,448/x
  3. Step 3: Cross multiply
    535,143.36x = 738,506.40 × 293,448
  4. Step 4: Simplify right side
    535,143.36x = 216,713,226,067.20
  5. Step 5: Solve for x
    x = 216,713,226,067.20/535,143.36
  6. Step 6: Final answer
    x = 404,962.94

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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.