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Finding the Fourth Proportional to 614,840, 922,396.26 and 188,434.76

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Solution

The fourth proportional to 614,840, 922,396.26 and 188,434.76 is: 282,693.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,840 : 922,396.26 = 188,434.76 : x
  2. Step 2: Convert to fraction form
    614,840/922,396.26 = 188,434.76/x
  3. Step 3: Cross multiply
    614,840x = 922,396.26 × 188,434.76
  4. Step 4: Simplify right side
    614,840x = 173,811,517,878.00
  5. Step 5: Solve for x
    x = 173,811,517,878.00/614,840
  6. Step 6: Final answer
    x = 282,693.90

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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.