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Finding the Fourth Proportional to 538,022.40, 807,811.20 and 405,830.40

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Solution

The fourth proportional to 538,022.40, 807,811.20 and 405,830.40 is: 609,332.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,022.40 : 807,811.20 = 405,830.40 : x
  2. Step 2: Convert to fraction form
    538,022.40/807,811.20 = 405,830.40/x
  3. Step 3: Cross multiply
    538,022.40x = 807,811.20 × 405,830.40
  4. Step 4: Simplify right side
    538,022.40x = 327,834,342,420.48
  5. Step 5: Solve for x
    x = 327,834,342,420.48/538,022.40
  6. Step 6: Final answer
    x = 609,332.14

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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.