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Finding the Fourth Proportional to 431,870.84, 595,980.21 and 240,884.08

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Solution

The fourth proportional to 431,870.84, 595,980.21 and 240,884.08 is: 332,419.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,870.84 : 595,980.21 = 240,884.08 : x
  2. Step 2: Convert to fraction form
    431,870.84/595,980.21 = 240,884.08/x
  3. Step 3: Cross multiply
    431,870.84x = 595,980.21 × 240,884.08
  4. Step 4: Simplify right side
    431,870.84x = 143,562,144,584.06
  5. Step 5: Solve for x
    x = 143,562,144,584.06/431,870.84
  6. Step 6: Final answer
    x = 332,419.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.