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Finding the Fourth Proportional to 284,215.36, 392,283.14 and 187,436.68

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Solution

The fourth proportional to 284,215.36, 392,283.14 and 187,436.68 is: 258,706.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,215.36 : 392,283.14 = 187,436.68 : x
  2. Step 2: Convert to fraction form
    284,215.36/392,283.14 = 187,436.68/x
  3. Step 3: Cross multiply
    284,215.36x = 392,283.14 × 187,436.68
  4. Step 4: Simplify right side
    284,215.36x = 73,528,248,444.39
  5. Step 5: Solve for x
    x = 73,528,248,444.39/284,215.36
  6. Step 6: Final answer
    x = 258,706.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.