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Finding the Fourth Proportional to 538,443.40, 808,321.20 and 534,506.80

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Solution

The fourth proportional to 538,443.40, 808,321.20 and 534,506.80 is: 802,411.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,443.40 : 808,321.20 = 534,506.80 : x
  2. Step 2: Convert to fraction form
    538,443.40/808,321.20 = 534,506.80/x
  3. Step 3: Cross multiply
    538,443.40x = 808,321.20 × 534,506.80
  4. Step 4: Simplify right side
    538,443.40x = 432,053,177,984.16
  5. Step 5: Solve for x
    x = 432,053,177,984.16/538,443.40
  6. Step 6: Final answer
    x = 802,411.50

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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.