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Finding the Fourth Proportional to 384,669.84, 577,006.96 and 104,189.52

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Solution

The fourth proportional to 384,669.84, 577,006.96 and 104,189.52 is: 156,284.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,669.84 : 577,006.96 = 104,189.52 : x
  2. Step 2: Convert to fraction form
    384,669.84/577,006.96 = 104,189.52/x
  3. Step 3: Cross multiply
    384,669.84x = 577,006.96 × 104,189.52
  4. Step 4: Simplify right side
    384,669.84x = 60,118,078,199.06
  5. Step 5: Solve for x
    x = 60,118,078,199.06/384,669.84
  6. Step 6: Final answer
    x = 156,284.88

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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.