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Finding the Fourth Proportional to 538,732.20, 808,207.65 and 183,782.10

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Solution

The fourth proportional to 538,732.20, 808,207.65 and 183,782.10 is: 275,710.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,732.20 : 808,207.65 = 183,782.10 : x
  2. Step 2: Convert to fraction form
    538,732.20/808,207.65 = 183,782.10/x
  3. Step 3: Cross multiply
    538,732.20x = 808,207.65 × 183,782.10
  4. Step 4: Simplify right side
    538,732.20x = 148,534,099,153.07
  5. Step 5: Solve for x
    x = 148,534,099,153.07/538,732.20
  6. Step 6: Final answer
    x = 275,710.45

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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.