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Finding the Fourth Proportional to 713,299.77, 1,070,100.72 and 264,024.36

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Solution

The fourth proportional to 713,299.77, 1,070,100.72 and 264,024.36 is: 396,092.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,299.77 : 1,070,100.72 = 264,024.36 : x
  2. Step 2: Convert to fraction form
    713,299.77/1,070,100.72 = 264,024.36/x
  3. Step 3: Cross multiply
    713,299.77x = 1,070,100.72 × 264,024.36
  4. Step 4: Simplify right side
    713,299.77x = 282,532,657,733.54
  5. Step 5: Solve for x
    x = 282,532,657,733.54/713,299.77
  6. Step 6: Final answer
    x = 396,092.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.