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Finding the Fourth Proportional to 413,655.81, 570,782.85 and 232,333.02

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Solution

The fourth proportional to 413,655.81, 570,782.85 and 232,333.02 is: 320,584.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,655.81 : 570,782.85 = 232,333.02 : x
  2. Step 2: Convert to fraction form
    413,655.81/570,782.85 = 232,333.02/x
  3. Step 3: Cross multiply
    413,655.81x = 570,782.85 × 232,333.02
  4. Step 4: Simplify right side
    413,655.81x = 132,611,703,304.71
  5. Step 5: Solve for x
    x = 132,611,703,304.71/413,655.81
  6. Step 6: Final answer
    x = 320,584.65

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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.