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Finding the Fourth Proportional to 651,930.30, 978,187.05 and 314,840.70

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Solution

The fourth proportional to 651,930.30, 978,187.05 and 314,840.70 is: 472,401.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,930.30 : 978,187.05 = 314,840.70 : x
  2. Step 2: Convert to fraction form
    651,930.30/978,187.05 = 314,840.70/x
  3. Step 3: Cross multiply
    651,930.30x = 978,187.05 × 314,840.70
  4. Step 4: Simplify right side
    651,930.30x = 307,973,095,552.94
  5. Step 5: Solve for x
    x = 307,973,095,552.94/651,930.30
  6. Step 6: Final answer
    x = 472,401.87

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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.