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Finding the Fourth Proportional to 597,851.68, 896,778.48 and 410,294.56

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Solution

The fourth proportional to 597,851.68, 896,778.48 and 410,294.56 is: 615,442.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,851.68 : 896,778.48 = 410,294.56 : x
  2. Step 2: Convert to fraction form
    597,851.68/896,778.48 = 410,294.56/x
  3. Step 3: Cross multiply
    597,851.68x = 896,778.48 × 410,294.56
  4. Step 4: Simplify right side
    597,851.68x = 367,943,331,869.07
  5. Step 5: Solve for x
    x = 367,943,331,869.07/597,851.68
  6. Step 6: Final answer
    x = 615,442.50

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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.