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Finding the Fourth Proportional to 705,546.66, 974,058.24 and 464,529.86

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Solution

The fourth proportional to 705,546.66, 974,058.24 and 464,529.86 is: 641,317.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,546.66 : 974,058.24 = 464,529.86 : x
  2. Step 2: Convert to fraction form
    705,546.66/974,058.24 = 464,529.86/x
  3. Step 3: Cross multiply
    705,546.66x = 974,058.24 × 464,529.86
  4. Step 4: Simplify right side
    705,546.66x = 452,479,132,988.76
  5. Step 5: Solve for x
    x = 452,479,132,988.76/705,546.66
  6. Step 6: Final answer
    x = 641,317.09

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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.