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Finding the Fourth Proportional to 538,695.27, 808,280.91 and 282,466.66

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Solution

The fourth proportional to 538,695.27, 808,280.91 and 282,466.66 is: 423,824.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,695.27 : 808,280.91 = 282,466.66 : x
  2. Step 2: Convert to fraction form
    538,695.27/808,280.91 = 282,466.66/x
  3. Step 3: Cross multiply
    538,695.27x = 808,280.91 × 282,466.66
  4. Step 4: Simplify right side
    538,695.27x = 228,312,406,266.00
  5. Step 5: Solve for x
    x = 228,312,406,266.00/538,695.27
  6. Step 6: Final answer
    x = 423,824.78

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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.