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Finding the Fourth Proportional to 364,432.44, 546,271.38 and 177,211.32

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Solution

The fourth proportional to 364,432.44, 546,271.38 and 177,211.32 is: 265,633.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,432.44 : 546,271.38 = 177,211.32 : x
  2. Step 2: Convert to fraction form
    364,432.44/546,271.38 = 177,211.32/x
  3. Step 3: Cross multiply
    364,432.44x = 546,271.38 × 177,211.32
  4. Step 4: Simplify right side
    364,432.44x = 96,805,472,328.02
  5. Step 5: Solve for x
    x = 96,805,472,328.02/364,432.44
  6. Step 6: Final answer
    x = 265,633.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.