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Finding the Fourth Proportional to 614,790, 922,246.50 and 188,320.89

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Solution

The fourth proportional to 614,790, 922,246.50 and 188,320.89 is: 282,500.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,790 : 922,246.50 = 188,320.89 : x
  2. Step 2: Convert to fraction form
    614,790/922,246.50 = 188,320.89/x
  3. Step 3: Cross multiply
    614,790x = 922,246.50 × 188,320.89
  4. Step 4: Simplify right side
    614,790x = 173,678,281,679.39
  5. Step 5: Solve for x
    x = 173,678,281,679.39/614,790
  6. Step 6: Final answer
    x = 282,500.17

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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.