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Finding the Fourth Proportional to 385,178.07, 577,454.07 and 160,705.74

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Solution

The fourth proportional to 385,178.07, 577,454.07 and 160,705.74 is: 240,928.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,178.07 : 577,454.07 = 160,705.74 : x
  2. Step 2: Convert to fraction form
    385,178.07/577,454.07 = 160,705.74/x
  3. Step 3: Cross multiply
    385,178.07x = 577,454.07 × 160,705.74
  4. Step 4: Simplify right side
    385,178.07x = 92,800,183,635.36
  5. Step 5: Solve for x
    x = 92,800,183,635.36/385,178.07
  6. Step 6: Final answer
    x = 240,928.00

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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.