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Finding the Fourth Proportional to 331,935.66, 497,458.76 and 310,678.02

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Solution

The fourth proportional to 331,935.66, 497,458.76 and 310,678.02 is: 465,600.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,935.66 : 497,458.76 = 310,678.02 : x
  2. Step 2: Convert to fraction form
    331,935.66/497,458.76 = 310,678.02/x
  3. Step 3: Cross multiply
    331,935.66x = 497,458.76 × 310,678.02
  4. Step 4: Simplify right side
    331,935.66x = 154,549,501,035.07
  5. Step 5: Solve for x
    x = 154,549,501,035.07/331,935.66
  6. Step 6: Final answer
    x = 465,600.78

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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.