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Finding the Fourth Proportional to 565,009.80, 847,514.68 and 210,113.16

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Solution

The fourth proportional to 565,009.80, 847,514.68 and 210,113.16 is: 315,169.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,009.80 : 847,514.68 = 210,113.16 : x
  2. Step 2: Convert to fraction form
    565,009.80/847,514.68 = 210,113.16/x
  3. Step 3: Cross multiply
    565,009.80x = 847,514.68 × 210,113.16
  4. Step 4: Simplify right side
    565,009.80x = 178,073,987,561.19
  5. Step 5: Solve for x
    x = 178,073,987,561.19/565,009.80
  6. Step 6: Final answer
    x = 315,169.73

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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.