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Finding the Fourth Proportional to 538,945.40, 808,418.10 and 495,205.40

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Solution

The fourth proportional to 538,945.40, 808,418.10 and 495,205.40 is: 742,808.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,945.40 : 808,418.10 = 495,205.40 : x
  2. Step 2: Convert to fraction form
    538,945.40/808,418.10 = 495,205.40/x
  3. Step 3: Cross multiply
    538,945.40x = 808,418.10 × 495,205.40
  4. Step 4: Simplify right side
    538,945.40x = 400,333,008,577.74
  5. Step 5: Solve for x
    x = 400,333,008,577.74/538,945.40
  6. Step 6: Final answer
    x = 742,808.10

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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.