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Finding the Fourth Proportional to 299,326.61, 413,074.55 and 176,823.02

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Solution

The fourth proportional to 299,326.61, 413,074.55 and 176,823.02 is: 244,018.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,326.61 : 413,074.55 = 176,823.02 : x
  2. Step 2: Convert to fraction form
    299,326.61/413,074.55 = 176,823.02/x
  3. Step 3: Cross multiply
    299,326.61x = 413,074.55 × 176,823.02
  4. Step 4: Simplify right side
    299,326.61x = 73,041,090,890.88
  5. Step 5: Solve for x
    x = 73,041,090,890.88/299,326.61
  6. Step 6: Final answer
    x = 244,018.03

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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.