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Finding the Fourth Proportional to 535,352.32, 738,833.60 and 293,682

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Solution

The fourth proportional to 535,352.32, 738,833.60 and 293,682 is: 405,307.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,352.32 : 738,833.60 = 293,682 : x
  2. Step 2: Convert to fraction form
    535,352.32/738,833.60 = 293,682/x
  3. Step 3: Cross multiply
    535,352.32x = 738,833.60 × 293,682
  4. Step 4: Simplify right side
    535,352.32x = 216,982,129,315.20
  5. Step 5: Solve for x
    x = 216,982,129,315.20/535,352.32
  6. Step 6: Final answer
    x = 405,307.16

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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.