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Finding the Fourth Proportional to 729,930.16, 1,007,307.76 and 407,668.40

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Solution

The fourth proportional to 729,930.16, 1,007,307.76 and 407,668.40 is: 562,584.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,930.16 : 1,007,307.76 = 407,668.40 : x
  2. Step 2: Convert to fraction form
    729,930.16/1,007,307.76 = 407,668.40/x
  3. Step 3: Cross multiply
    729,930.16x = 1,007,307.76 × 407,668.40
  4. Step 4: Simplify right side
    729,930.16x = 410,647,542,826.78
  5. Step 5: Solve for x
    x = 410,647,542,826.78/729,930.16
  6. Step 6: Final answer
    x = 562,584.70

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