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Finding the Fourth Proportional to 514,367.43, 709,802.37 and 284,909.22

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Solution

The fourth proportional to 514,367.43, 709,802.37 and 284,909.22 is: 393,161.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,367.43 : 709,802.37 = 284,909.22 : x
  2. Step 2: Convert to fraction form
    514,367.43/709,802.37 = 284,909.22/x
  3. Step 3: Cross multiply
    514,367.43x = 709,802.37 × 284,909.22
  4. Step 4: Simplify right side
    514,367.43x = 202,229,239,590.85
  5. Step 5: Solve for x
    x = 202,229,239,590.85/514,367.43
  6. Step 6: Final answer
    x = 393,161.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.