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Finding the Fourth Proportional to 470,851.70, 706,277.55 and 311,419.40

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Solution

The fourth proportional to 470,851.70, 706,277.55 and 311,419.40 is: 467,129.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,851.70 : 706,277.55 = 311,419.40 : x
  2. Step 2: Convert to fraction form
    470,851.70/706,277.55 = 311,419.40/x
  3. Step 3: Cross multiply
    470,851.70x = 706,277.55 × 311,419.40
  4. Step 4: Simplify right side
    470,851.70x = 219,948,530,854.47
  5. Step 5: Solve for x
    x = 219,948,530,854.47/470,851.70
  6. Step 6: Final answer
    x = 467,129.10

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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.