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Finding the Fourth Proportional to 404,703.84, 558,566.64 and 232,722.48

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Solution

The fourth proportional to 404,703.84, 558,566.64 and 232,722.48 is: 321,200.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,703.84 : 558,566.64 = 232,722.48 : x
  2. Step 2: Convert to fraction form
    404,703.84/558,566.64 = 232,722.48/x
  3. Step 3: Cross multiply
    404,703.84x = 558,566.64 × 232,722.48
  4. Step 4: Simplify right side
    404,703.84x = 129,991,013,706.07
  5. Step 5: Solve for x
    x = 129,991,013,706.07/404,703.84
  6. Step 6: Final answer
    x = 321,200.35

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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.