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Finding the Fourth Proportional to 586,093.14, 879,210.90 and 165,369.06

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Solution

The fourth proportional to 586,093.14, 879,210.90 and 165,369.06 is: 248,073.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,093.14 : 879,210.90 = 165,369.06 : x
  2. Step 2: Convert to fraction form
    586,093.14/879,210.90 = 165,369.06/x
  3. Step 3: Cross multiply
    586,093.14x = 879,210.90 × 165,369.06
  4. Step 4: Simplify right side
    586,093.14x = 145,394,280,074.75
  5. Step 5: Solve for x
    x = 145,394,280,074.75/586,093.14
  6. Step 6: Final answer
    x = 248,073.68

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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.