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Finding the Fourth Proportional to 668,842.70, 1,003,264.06 and 313,892.60

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Solution

The fourth proportional to 668,842.70, 1,003,264.06 and 313,892.60 is: 470,838.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,842.70 : 1,003,264.06 = 313,892.60 : x
  2. Step 2: Convert to fraction form
    668,842.70/1,003,264.06 = 313,892.60/x
  3. Step 3: Cross multiply
    668,842.70x = 1,003,264.06 × 313,892.60
  4. Step 4: Simplify right side
    668,842.70x = 314,917,164,279.96
  5. Step 5: Solve for x
    x = 314,917,164,279.96/668,842.70
  6. Step 6: Final answer
    x = 470,838.90

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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.