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Finding the Fourth Proportional to 559,681.14, 839,259.20 and 204,446.72

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Solution

The fourth proportional to 559,681.14, 839,259.20 and 204,446.72 is: 306,574.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,681.14 : 839,259.20 = 204,446.72 : x
  2. Step 2: Convert to fraction form
    559,681.14/839,259.20 = 204,446.72/x
  3. Step 3: Cross multiply
    559,681.14x = 839,259.20 × 204,446.72
  4. Step 4: Simplify right side
    559,681.14x = 171,583,790,669.82
  5. Step 5: Solve for x
    x = 171,583,790,669.82/559,681.14
  6. Step 6: Final answer
    x = 306,574.19

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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.