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Finding the Fourth Proportional to 431,051.84, 594,870 and 240,065.23

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Solution

The fourth proportional to 431,051.84, 594,870 and 240,065.23 is: 331,300.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,051.84 : 594,870 = 240,065.23 : x
  2. Step 2: Convert to fraction form
    431,051.84/594,870 = 240,065.23/x
  3. Step 3: Cross multiply
    431,051.84x = 594,870 × 240,065.23
  4. Step 4: Simplify right side
    431,051.84x = 142,807,603,370.10
  5. Step 5: Solve for x
    x = 142,807,603,370.10/431,051.84
  6. Step 6: Final answer
    x = 331,300.30

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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.