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Finding the Fourth Proportional to 704,076.30, 971,584.61 and 413,642.70

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Solution

The fourth proportional to 704,076.30, 971,584.61 and 413,642.70 is: 570,803.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,076.30 : 971,584.61 = 413,642.70 : x
  2. Step 2: Convert to fraction form
    704,076.30/971,584.61 = 413,642.70/x
  3. Step 3: Cross multiply
    704,076.30x = 971,584.61 × 413,642.70
  4. Step 4: Simplify right side
    704,076.30x = 401,888,879,290.63
  5. Step 5: Solve for x
    x = 401,888,879,290.63/704,076.30
  6. Step 6: Final answer
    x = 570,803.02

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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.