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Finding the Fourth Proportional to 385,283.80, 577,987.44 and 118,981.72

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Solution

The fourth proportional to 385,283.80, 577,987.44 and 118,981.72 is: 178,491.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,283.80 : 577,987.44 = 118,981.72 : x
  2. Step 2: Convert to fraction form
    385,283.80/577,987.44 = 118,981.72/x
  3. Step 3: Cross multiply
    385,283.80x = 577,987.44 × 118,981.72
  4. Step 4: Simplify right side
    385,283.80x = 68,769,939,749.60
  5. Step 5: Solve for x
    x = 68,769,939,749.60/385,283.80
  6. Step 6: Final answer
    x = 178,491.65

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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.