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Finding the Fourth Proportional to 753,133.36, 1,039,324 and 413,601.60

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Solution

The fourth proportional to 753,133.36, 1,039,324 and 413,601.60 is: 570,770.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,133.36 : 1,039,324 = 413,601.60 : x
  2. Step 2: Convert to fraction form
    753,133.36/1,039,324 = 413,601.60/x
  3. Step 3: Cross multiply
    753,133.36x = 1,039,324 × 413,601.60
  4. Step 4: Simplify right side
    753,133.36x = 429,866,069,318.40
  5. Step 5: Solve for x
    x = 429,866,069,318.40/753,133.36
  6. Step 6: Final answer
    x = 570,770.19

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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.