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Finding the Fourth Proportional to 461,879.14, 692,810.50 and 146,327.84

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Solution

The fourth proportional to 461,879.14, 692,810.50 and 146,327.84 is: 219,489.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,879.14 : 692,810.50 = 146,327.84 : x
  2. Step 2: Convert to fraction form
    461,879.14/692,810.50 = 146,327.84/x
  3. Step 3: Cross multiply
    461,879.14x = 692,810.50 × 146,327.84
  4. Step 4: Simplify right side
    461,879.14x = 101,377,463,994.32
  5. Step 5: Solve for x
    x = 101,377,463,994.32/461,879.14
  6. Step 6: Final answer
    x = 219,489.16

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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.