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Finding the Fourth Proportional to 586,478.64, 879,794.10 and 165,764.64

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Solution

The fourth proportional to 586,478.64, 879,794.10 and 165,764.64 is: 248,668.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,478.64 : 879,794.10 = 165,764.64 : x
  2. Step 2: Convert to fraction form
    586,478.64/879,794.10 = 165,764.64/x
  3. Step 3: Cross multiply
    586,478.64x = 879,794.10 × 165,764.64
  4. Step 4: Simplify right side
    586,478.64x = 145,838,752,260.62
  5. Step 5: Solve for x
    x = 145,838,752,260.62/586,478.64
  6. Step 6: Final answer
    x = 248,668.48

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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.