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Finding the Fourth Proportional to 538,810.40, 808,215.60 and 184,224.80

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Solution

The fourth proportional to 538,810.40, 808,215.60 and 184,224.80 is: 276,337.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,810.40 : 808,215.60 = 184,224.80 : x
  2. Step 2: Convert to fraction form
    538,810.40/808,215.60 = 184,224.80/x
  3. Step 3: Cross multiply
    538,810.40x = 808,215.60 × 184,224.80
  4. Step 4: Simplify right side
    538,810.40x = 148,893,357,266.88
  5. Step 5: Solve for x
    x = 148,893,357,266.88/538,810.40
  6. Step 6: Final answer
    x = 276,337.20

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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.