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Finding the Fourth Proportional to 538,696.77, 808,283.16 and 282,468.15

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Solution

The fourth proportional to 538,696.77, 808,283.16 and 282,468.15 is: 423,827.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,696.77 : 808,283.16 = 282,468.15 : x
  2. Step 2: Convert to fraction form
    538,696.77/808,283.16 = 282,468.15/x
  3. Step 3: Cross multiply
    538,696.77x = 808,283.16 × 282,468.15
  4. Step 4: Simplify right side
    538,696.77x = 228,314,248,881.35
  5. Step 5: Solve for x
    x = 228,314,248,881.35/538,696.77
  6. Step 6: Final answer
    x = 423,827.02

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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.