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Finding the Fourth Proportional to 580,391.92, 870,291.76 and 340,973.64

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Solution

The fourth proportional to 580,391.92, 870,291.76 and 340,973.64 is: 511,286.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,391.92 : 870,291.76 = 340,973.64 : x
  2. Step 2: Convert to fraction form
    580,391.92/870,291.76 = 340,973.64/x
  3. Step 3: Cross multiply
    580,391.92x = 870,291.76 × 340,973.64
  4. Step 4: Simplify right side
    580,391.92x = 296,746,549,269.21
  5. Step 5: Solve for x
    x = 296,746,549,269.21/580,391.92
  6. Step 6: Final answer
    x = 511,286.49

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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.