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Finding the Fourth Proportional to 586,102.14, 879,224.40 and 165,378.06

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Solution

The fourth proportional to 586,102.14, 879,224.40 and 165,378.06 is: 248,087.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,102.14 : 879,224.40 = 165,378.06 : x
  2. Step 2: Convert to fraction form
    586,102.14/879,224.40 = 165,378.06/x
  3. Step 3: Cross multiply
    586,102.14x = 879,224.40 × 165,378.06
  4. Step 4: Simplify right side
    586,102.14x = 145,404,425,576.66
  5. Step 5: Solve for x
    x = 145,404,425,576.66/586,102.14
  6. Step 6: Final answer
    x = 248,087.18

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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.