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Finding the Fourth Proportional to 470,716.71, 705,677.14 and 204,276.93

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Solution

The fourth proportional to 470,716.71, 705,677.14 and 204,276.93 is: 306,242.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,716.71 : 705,677.14 = 204,276.93 : x
  2. Step 2: Convert to fraction form
    470,716.71/705,677.14 = 204,276.93/x
  3. Step 3: Cross multiply
    470,716.71x = 705,677.14 × 204,276.93
  4. Step 4: Simplify right side
    470,716.71x = 144,153,559,730.38
  5. Step 5: Solve for x
    x = 144,153,559,730.38/470,716.71
  6. Step 6: Final answer
    x = 306,242.71

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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.