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Finding the Fourth Proportional to 346,833.81, 520,356.96 and 311,069.07

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Solution

The fourth proportional to 346,833.81, 520,356.96 and 311,069.07 is: 466,698.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,833.81 : 520,356.96 = 311,069.07 : x
  2. Step 2: Convert to fraction form
    346,833.81/520,356.96 = 311,069.07/x
  3. Step 3: Cross multiply
    346,833.81x = 520,356.96 × 311,069.07
  4. Step 4: Simplify right side
    346,833.81x = 161,866,955,615.23
  5. Step 5: Solve for x
    x = 161,866,955,615.23/346,833.81
  6. Step 6: Final answer
    x = 466,698.89

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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.