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Finding the Fourth Proportional to 488,648.10, 732,947.85 and 252,014.70

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Solution

The fourth proportional to 488,648.10, 732,947.85 and 252,014.70 is: 378,009.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,648.10 : 732,947.85 = 252,014.70 : x
  2. Step 2: Convert to fraction form
    488,648.10/732,947.85 = 252,014.70/x
  3. Step 3: Cross multiply
    488,648.10x = 732,947.85 × 252,014.70
  4. Step 4: Simplify right side
    488,648.10x = 184,713,632,533.40
  5. Step 5: Solve for x
    x = 184,713,632,533.40/488,648.10
  6. Step 6: Final answer
    x = 378,009.52

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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.