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Finding the Fourth Proportional to 401,124.30, 601,686.45 and 311,894.70

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Solution

The fourth proportional to 401,124.30, 601,686.45 and 311,894.70 is: 467,842.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,124.30 : 601,686.45 = 311,894.70 : x
  2. Step 2: Convert to fraction form
    401,124.30/601,686.45 = 311,894.70/x
  3. Step 3: Cross multiply
    401,124.30x = 601,686.45 × 311,894.70
  4. Step 4: Simplify right side
    401,124.30x = 187,662,814,816.82
  5. Step 5: Solve for x
    x = 187,662,814,816.82/401,124.30
  6. Step 6: Final answer
    x = 467,842.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.