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Finding the Fourth Proportional to 510,541.76, 704,765.44 and 363,461.42

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Solution

The fourth proportional to 510,541.76, 704,765.44 and 363,461.42 is: 501,731.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,541.76 : 704,765.44 = 363,461.42 : x
  2. Step 2: Convert to fraction form
    510,541.76/704,765.44 = 363,461.42/x
  3. Step 3: Cross multiply
    510,541.76x = 704,765.44 × 363,461.42
  4. Step 4: Simplify right side
    510,541.76x = 256,155,047,589.33
  5. Step 5: Solve for x
    x = 256,155,047,589.33/510,541.76
  6. Step 6: Final answer
    x = 501,731.82

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1.5x scale

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.