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Finding the Fourth Proportional to 384,302.47, 577,328.51 and 278,014.27

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Solution

The fourth proportional to 384,302.47, 577,328.51 and 278,014.27 is: 417,654.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,302.47 : 577,328.51 = 278,014.27 : x
  2. Step 2: Convert to fraction form
    384,302.47/577,328.51 = 278,014.27/x
  3. Step 3: Cross multiply
    384,302.47x = 577,328.51 × 278,014.27
  4. Step 4: Simplify right side
    384,302.47x = 160,505,564,257.84
  5. Step 5: Solve for x
    x = 160,505,564,257.84/384,302.47
  6. Step 6: Final answer
    x = 417,654.26

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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.