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Finding the Fourth Proportional to 284,243.86, 392,398.59 and 176,848.66

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Solution

The fourth proportional to 284,243.86, 392,398.59 and 176,848.66 is: 244,139.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,243.86 : 392,398.59 = 176,848.66 : x
  2. Step 2: Convert to fraction form
    284,243.86/392,398.59 = 176,848.66/x
  3. Step 3: Cross multiply
    284,243.86x = 392,398.59 × 176,848.66
  4. Step 4: Simplify right side
    284,243.86x = 69,395,164,827.39
  5. Step 5: Solve for x
    x = 69,395,164,827.39/284,243.86
  6. Step 6: Final answer
    x = 244,139.54

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Why These Related Problems?

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