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Finding the Fourth Proportional to 470,223.60, 705,335.40 and 292,639.20

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Solution

The fourth proportional to 470,223.60, 705,335.40 and 292,639.20 is: 438,958.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,223.60 : 705,335.40 = 292,639.20 : x
  2. Step 2: Convert to fraction form
    470,223.60/705,335.40 = 292,639.20/x
  3. Step 3: Cross multiply
    470,223.60x = 705,335.40 × 292,639.20
  4. Step 4: Simplify right side
    470,223.60x = 206,408,787,187.68
  5. Step 5: Solve for x
    x = 206,408,787,187.68/470,223.60
  6. Step 6: Final answer
    x = 438,958.80

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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.