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Finding the Fourth Proportional to 680,854.70, 1,021,282.05 and 470,902.70

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Solution

The fourth proportional to 680,854.70, 1,021,282.05 and 470,902.70 is: 706,354.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,854.70 : 1,021,282.05 = 470,902.70 : x
  2. Step 2: Convert to fraction form
    680,854.70/1,021,282.05 = 470,902.70/x
  3. Step 3: Cross multiply
    680,854.70x = 1,021,282.05 × 470,902.70
  4. Step 4: Simplify right side
    680,854.70x = 480,924,474,806.54
  5. Step 5: Solve for x
    x = 480,924,474,806.54/680,854.70
  6. Step 6: Final answer
    x = 706,354.05

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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.