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Finding the Fourth Proportional to 703,957.85, 971,469.29 and 413,581.51

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Solution

The fourth proportional to 703,957.85, 971,469.29 and 413,581.51 is: 570,746.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,957.85 : 971,469.29 = 413,581.51 : x
  2. Step 2: Convert to fraction form
    703,957.85/971,469.29 = 413,581.51/x
  3. Step 3: Cross multiply
    703,957.85x = 971,469.29 × 413,581.51
  4. Step 4: Simplify right side
    703,957.85x = 401,781,738,125.12
  5. Step 5: Solve for x
    x = 401,781,738,125.12/703,957.85
  6. Step 6: Final answer
    x = 570,746.87

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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.