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Finding the Fourth Proportional to 580,101.15, 870,175.32 and 276,339.16

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Solution

The fourth proportional to 580,101.15, 870,175.32 and 276,339.16 is: 414,519.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,101.15 : 870,175.32 = 276,339.16 : x
  2. Step 2: Convert to fraction form
    580,101.15/870,175.32 = 276,339.16/x
  3. Step 3: Cross multiply
    580,101.15x = 870,175.32 × 276,339.16
  4. Step 4: Simplify right side
    580,101.15x = 240,463,516,981.53
  5. Step 5: Solve for x
    x = 240,463,516,981.53/580,101.15
  6. Step 6: Final answer
    x = 414,519.98

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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.