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Finding the Fourth Proportional to 384,595.80, 576,948.36 and 118,378.50

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Solution

The fourth proportional to 384,595.80, 576,948.36 and 118,378.50 is: 177,584.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,595.80 : 576,948.36 = 118,378.50 : x
  2. Step 2: Convert to fraction form
    384,595.80/576,948.36 = 118,378.50/x
  3. Step 3: Cross multiply
    384,595.80x = 576,948.36 × 118,378.50
  4. Step 4: Simplify right side
    384,595.80x = 68,298,281,434.26
  5. Step 5: Solve for x
    x = 68,298,281,434.26/384,595.80
  6. Step 6: Final answer
    x = 177,584.57

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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.