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Finding the Fourth Proportional to 464,187.72, 696,333.66 and 416,509.71

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Solution

The fourth proportional to 464,187.72, 696,333.66 and 416,509.71 is: 624,811.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,187.72 : 696,333.66 = 416,509.71 : x
  2. Step 2: Convert to fraction form
    464,187.72/696,333.66 = 416,509.71/x
  3. Step 3: Cross multiply
    464,187.72x = 696,333.66 × 416,509.71
  4. Step 4: Simplify right side
    464,187.72x = 290,029,730,789.84
  5. Step 5: Solve for x
    x = 290,029,730,789.84/464,187.72
  6. Step 6: Final answer
    x = 624,811.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.