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Finding the Fourth Proportional to 583,590.77, 875,462.70 and 228,558.65

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Solution

The fourth proportional to 583,590.77, 875,462.70 and 228,558.65 is: 342,867.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,590.77 : 875,462.70 = 228,558.65 : x
  2. Step 2: Convert to fraction form
    583,590.77/875,462.70 = 228,558.65/x
  3. Step 3: Cross multiply
    583,590.77x = 875,462.70 × 228,558.65
  4. Step 4: Simplify right side
    583,590.77x = 200,094,568,460.04
  5. Step 5: Solve for x
    x = 200,094,568,460.04/583,590.77
  6. Step 6: Final answer
    x = 342,867.95

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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.