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Finding the Fourth Proportional to 359,464.16, 496,058.08 and 198,326.08

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Solution

The fourth proportional to 359,464.16, 496,058.08 and 198,326.08 is: 273,688.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,464.16 : 496,058.08 = 198,326.08 : x
  2. Step 2: Convert to fraction form
    359,464.16/496,058.08 = 198,326.08/x
  3. Step 3: Cross multiply
    359,464.16x = 496,058.08 × 198,326.08
  4. Step 4: Simplify right side
    359,464.16x = 98,381,254,458.73
  5. Step 5: Solve for x
    x = 98,381,254,458.73/359,464.16
  6. Step 6: Final answer
    x = 273,688.63

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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.