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Finding the Fourth Proportional to 469,419.32, 704,226.99 and 153,851.42

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Solution

The fourth proportional to 469,419.32, 704,226.99 and 153,851.42 is: 230,809.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,419.32 : 704,226.99 = 153,851.42 : x
  2. Step 2: Convert to fraction form
    469,419.32/704,226.99 = 153,851.42/x
  3. Step 3: Cross multiply
    469,419.32x = 704,226.99 × 153,851.42
  4. Step 4: Simplify right side
    469,419.32x = 108,346,322,413.83
  5. Step 5: Solve for x
    x = 108,346,322,413.83/469,419.32
  6. Step 6: Final answer
    x = 230,809.25

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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.