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Finding the Fourth Proportional to 703,722.61, 971,113.58 and 417,072.52

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Solution

The fourth proportional to 703,722.61, 971,113.58 and 417,072.52 is: 575,546.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,722.61 : 971,113.58 = 417,072.52 : x
  2. Step 2: Convert to fraction form
    703,722.61/971,113.58 = 417,072.52/x
  3. Step 3: Cross multiply
    703,722.61x = 971,113.58 × 417,072.52
  4. Step 4: Simplify right side
    703,722.61x = 405,024,783,503.68
  5. Step 5: Solve for x
    x = 405,024,783,503.68/703,722.61
  6. Step 6: Final answer
    x = 575,546.07

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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.