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Finding the Fourth Proportional to 535,155.86, 738,523.41 and 293,460.50

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Solution

The fourth proportional to 535,155.86, 738,523.41 and 293,460.50 is: 404,980.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,155.86 : 738,523.41 = 293,460.50 : x
  2. Step 2: Convert to fraction form
    535,155.86/738,523.41 = 293,460.50/x
  3. Step 3: Cross multiply
    535,155.86x = 738,523.41 × 293,460.50
  4. Step 4: Simplify right side
    535,155.86x = 216,727,449,160.31
  5. Step 5: Solve for x
    x = 216,727,449,160.31/535,155.86
  6. Step 6: Final answer
    x = 404,980.05

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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.