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Finding the Fourth Proportional to 385,335.83, 578,006.13 and 101,023.82

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Solution

The fourth proportional to 385,335.83, 578,006.13 and 101,023.82 is: 151,536.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,335.83 : 578,006.13 = 101,023.82 : x
  2. Step 2: Convert to fraction form
    385,335.83/578,006.13 = 101,023.82/x
  3. Step 3: Cross multiply
    385,335.83x = 578,006.13 × 101,023.82
  4. Step 4: Simplify right side
    385,335.83x = 58,392,389,285.40
  5. Step 5: Solve for x
    x = 58,392,389,285.40/385,335.83
  6. Step 6: Final answer
    x = 151,536.36

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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.