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Finding the Fourth Proportional to 529,947.42, 794,902.86 and 150,870.48

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Solution

The fourth proportional to 529,947.42, 794,902.86 and 150,870.48 is: 226,300.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,947.42 : 794,902.86 = 150,870.48 : x
  2. Step 2: Convert to fraction form
    529,947.42/794,902.86 = 150,870.48/x
  3. Step 3: Cross multiply
    529,947.42x = 794,902.86 × 150,870.48
  4. Step 4: Simplify right side
    529,947.42x = 119,927,376,041.57
  5. Step 5: Solve for x
    x = 119,927,376,041.57/529,947.42
  6. Step 6: Final answer
    x = 226,300.52

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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.