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Finding the Fourth Proportional to 397,523.54, 596,351.79 and 312,130.93

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Solution

The fourth proportional to 397,523.54, 596,351.79 and 312,130.93 is: 468,248.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,523.54 : 596,351.79 = 312,130.93 : x
  2. Step 2: Convert to fraction form
    397,523.54/596,351.79 = 312,130.93/x
  3. Step 3: Cross multiply
    397,523.54x = 596,351.79 × 312,130.93
  4. Step 4: Simplify right side
    397,523.54x = 186,139,841,353.97
  5. Step 5: Solve for x
    x = 186,139,841,353.97/397,523.54
  6. Step 6: Final answer
    x = 468,248.61

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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.