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Finding the Fourth Proportional to 310,937.67, 466,406.51 and 171,582.03

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Solution

The fourth proportional to 310,937.67, 466,406.51 and 171,582.03 is: 257,373.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,937.67 : 466,406.51 = 171,582.03 : x
  2. Step 2: Convert to fraction form
    310,937.67/466,406.51 = 171,582.03/x
  3. Step 3: Cross multiply
    310,937.67x = 466,406.51 × 171,582.03
  4. Step 4: Simplify right side
    310,937.67x = 80,026,974,933.11
  5. Step 5: Solve for x
    x = 80,026,974,933.11/310,937.67
  6. Step 6: Final answer
    x = 257,373.05

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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.