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Finding the Fourth Proportional to 614,844, 922,402.26 and 188,438.76

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Solution

The fourth proportional to 614,844, 922,402.26 and 188,438.76 is: 282,699.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,844 : 922,402.26 = 188,438.76 : x
  2. Step 2: Convert to fraction form
    614,844/922,402.26 = 188,438.76/x
  3. Step 3: Cross multiply
    614,844x = 922,402.26 × 188,438.76
  4. Step 4: Simplify right side
    614,844x = 173,816,338,095.60
  5. Step 5: Solve for x
    x = 173,816,338,095.60/614,844
  6. Step 6: Final answer
    x = 282,699.90

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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.