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Finding the Fourth Proportional to 658,512.87, 908,563.41 and 413,524.05

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Solution

The fourth proportional to 658,512.87, 908,563.41 and 413,524.05 is: 570,547.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,512.87 : 908,563.41 = 413,524.05 : x
  2. Step 2: Convert to fraction form
    658,512.87/908,563.41 = 413,524.05/x
  3. Step 3: Cross multiply
    658,512.87x = 908,563.41 × 413,524.05
  4. Step 4: Simplify right side
    658,512.87x = 375,712,820,985.01
  5. Step 5: Solve for x
    x = 375,712,820,985.01/658,512.87
  6. Step 6: Final answer
    x = 570,547.42

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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.