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Finding the Fourth Proportional to 569,101.40, 851,808.90 and 403,213.40

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Solution

The fourth proportional to 569,101.40, 851,808.90 and 403,213.40 is: 603,514.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,101.40 : 851,808.90 = 403,213.40 : x
  2. Step 2: Convert to fraction form
    569,101.40/851,808.90 = 403,213.40/x
  3. Step 3: Cross multiply
    569,101.40x = 851,808.90 × 403,213.40
  4. Step 4: Simplify right side
    569,101.40x = 343,460,762,719.26
  5. Step 5: Solve for x
    x = 343,460,762,719.26/569,101.40
  6. Step 6: Final answer
    x = 603,514.18

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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.