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Finding the Fourth Proportional to 313,652.59, 470,715.48 and 145,291.05

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Solution

The fourth proportional to 313,652.59, 470,715.48 and 145,291.05 is: 218,046.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,652.59 : 470,715.48 = 145,291.05 : x
  2. Step 2: Convert to fraction form
    313,652.59/470,715.48 = 145,291.05/x
  3. Step 3: Cross multiply
    313,652.59x = 470,715.48 × 145,291.05
  4. Step 4: Simplify right side
    313,652.59x = 68,390,746,340.45
  5. Step 5: Solve for x
    x = 68,390,746,340.45/313,652.59
  6. Step 6: Final answer
    x = 218,046.17

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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.