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Finding the Fourth Proportional to 664,152.48, 916,523.28 and 362,340

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Solution

The fourth proportional to 664,152.48, 916,523.28 and 362,340 is: 500,025.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,152.48 : 916,523.28 = 362,340 : x
  2. Step 2: Convert to fraction form
    664,152.48/916,523.28 = 362,340/x
  3. Step 3: Cross multiply
    664,152.48x = 916,523.28 × 362,340
  4. Step 4: Simplify right side
    664,152.48x = 332,093,045,275.20
  5. Step 5: Solve for x
    x = 332,093,045,275.20/664,152.48
  6. Step 6: Final answer
    x = 500,025.30

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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.