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Finding the Fourth Proportional to 596,959.60, 893,471.10 and 419,812.60

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Solution

The fourth proportional to 596,959.60, 893,471.10 and 419,812.60 is: 628,334.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,959.60 : 893,471.10 = 419,812.60 : x
  2. Step 2: Convert to fraction form
    596,959.60/893,471.10 = 419,812.60/x
  3. Step 3: Cross multiply
    596,959.60x = 893,471.10 × 419,812.60
  4. Step 4: Simplify right side
    596,959.60x = 375,090,425,515.86
  5. Step 5: Solve for x
    x = 375,090,425,515.86/596,959.60
  6. Step 6: Final answer
    x = 628,334.69

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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.