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Finding the Fourth Proportional to 404,645.40, 565,453.80 and 404,645.40

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Solution

The fourth proportional to 404,645.40, 565,453.80 and 404,645.40 is: 565,453.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,645.40 : 565,453.80 = 404,645.40 : x
  2. Step 2: Convert to fraction form
    404,645.40/565,453.80 = 404,645.40/x
  3. Step 3: Cross multiply
    404,645.40x = 565,453.80 × 404,645.40
  4. Step 4: Simplify right side
    404,645.40x = 228,808,279,082.52
  5. Step 5: Solve for x
    x = 228,808,279,082.52/404,645.40
  6. Step 6: Final answer
    x = 565,453.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.