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Finding the Fourth Proportional to 196,565.38, 294,848.06 and 56,324

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Solution

The fourth proportional to 196,565.38, 294,848.06 and 56,324 is: 84,486.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,565.38 : 294,848.06 = 56,324 : x
  2. Step 2: Convert to fraction form
    196,565.38/294,848.06 = 56,324/x
  3. Step 3: Cross multiply
    196,565.38x = 294,848.06 × 56,324
  4. Step 4: Simplify right side
    196,565.38x = 16,607,022,131.44
  5. Step 5: Solve for x
    x = 16,607,022,131.44/196,565.38
  6. Step 6: Final answer
    x = 84,486.00

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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.