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Finding the Fourth Proportional to 363,384.48, 544,390.96 and 186,004

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Solution

The fourth proportional to 363,384.48, 544,390.96 and 186,004 is: 278,654.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,384.48 : 544,390.96 = 186,004 : x
  2. Step 2: Convert to fraction form
    363,384.48/544,390.96 = 186,004/x
  3. Step 3: Cross multiply
    363,384.48x = 544,390.96 × 186,004
  4. Step 4: Simplify right side
    363,384.48x = 101,258,896,123.84
  5. Step 5: Solve for x
    x = 101,258,896,123.84/363,384.48
  6. Step 6: Final answer
    x = 278,654.98

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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.