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Finding the Fourth Proportional to 413,069.84, 570,036.66 and 231,756.74

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Solution

The fourth proportional to 413,069.84, 570,036.66 and 231,756.74 is: 319,824.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,069.84 : 570,036.66 = 231,756.74 : x
  2. Step 2: Convert to fraction form
    413,069.84/570,036.66 = 231,756.74/x
  3. Step 3: Cross multiply
    413,069.84x = 570,036.66 × 231,756.74
  4. Step 4: Simplify right side
    413,069.84x = 132,109,838,002.09
  5. Step 5: Solve for x
    x = 132,109,838,002.09/413,069.84
  6. Step 6: Final answer
    x = 319,824.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.