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Finding the Fourth Proportional to 384,869.40, 577,216.62 and 185,065.08

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Solution

The fourth proportional to 384,869.40, 577,216.62 and 185,065.08 is: 277,555.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,869.40 : 577,216.62 = 185,065.08 : x
  2. Step 2: Convert to fraction form
    384,869.40/577,216.62 = 185,065.08/x
  3. Step 3: Cross multiply
    384,869.40x = 577,216.62 × 185,065.08
  4. Step 4: Simplify right side
    384,869.40x = 106,822,639,957.63
  5. Step 5: Solve for x
    x = 106,822,639,957.63/384,869.40
  6. Step 6: Final answer
    x = 277,555.56

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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.