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Finding the Fourth Proportional to 614,841, 922,397.76 and 188,435.76

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Solution

The fourth proportional to 614,841, 922,397.76 and 188,435.76 is: 282,695.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,841 : 922,397.76 = 188,435.76 : x
  2. Step 2: Convert to fraction form
    614,841/922,397.76 = 188,435.76/x
  3. Step 3: Cross multiply
    614,841x = 922,397.76 × 188,435.76
  4. Step 4: Simplify right side
    614,841x = 173,812,722,927.90
  5. Step 5: Solve for x
    x = 173,812,722,927.90/614,841
  6. Step 6: Final answer
    x = 282,695.40

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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.