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Finding the Fourth Proportional to 614,790.40, 922,184.75 and 165,511.75

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Solution

The fourth proportional to 614,790.40, 922,184.75 and 165,511.75 is: 248,267.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,790.40 : 922,184.75 = 165,511.75 : x
  2. Step 2: Convert to fraction form
    614,790.40/922,184.75 = 165,511.75/x
  3. Step 3: Cross multiply
    614,790.40x = 922,184.75 × 165,511.75
  4. Step 4: Simplify right side
    614,790.40x = 152,632,413,362.32
  5. Step 5: Solve for x
    x = 152,632,413,362.32/614,790.40
  6. Step 6: Final answer
    x = 248,267.40

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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.