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Finding the Fourth Proportional to 385,364.52, 578,035.92 and 104,884.20

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Solution

The fourth proportional to 385,364.52, 578,035.92 and 104,884.20 is: 157,323.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,364.52 : 578,035.92 = 104,884.20 : x
  2. Step 2: Convert to fraction form
    385,364.52/578,035.92 = 104,884.20/x
  3. Step 3: Cross multiply
    385,364.52x = 578,035.92 × 104,884.20
  4. Step 4: Simplify right side
    385,364.52x = 60,626,835,040.46
  5. Step 5: Solve for x
    x = 60,626,835,040.46/385,364.52
  6. Step 6: Final answer
    x = 157,323.34

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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.