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Finding the Fourth Proportional to 384,458.16, 576,768.24 and 144,573.60

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Solution

The fourth proportional to 384,458.16, 576,768.24 and 144,573.60 is: 216,890.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,458.16 : 576,768.24 = 144,573.60 : x
  2. Step 2: Convert to fraction form
    384,458.16/576,768.24 = 144,573.60/x
  3. Step 3: Cross multiply
    384,458.16x = 576,768.24 × 144,573.60
  4. Step 4: Simplify right side
    384,458.16x = 83,385,460,822.46
  5. Step 5: Solve for x
    x = 83,385,460,822.46/384,458.16
  6. Step 6: Final answer
    x = 216,890.86

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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.