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Finding the Fourth Proportional to 713,697.20, 1,070,490.16 and 264,206.64

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Solution

The fourth proportional to 713,697.20, 1,070,490.16 and 264,206.64 is: 396,289.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,697.20 : 1,070,490.16 = 264,206.64 : x
  2. Step 2: Convert to fraction form
    713,697.20/1,070,490.16 = 264,206.64/x
  3. Step 3: Cross multiply
    713,697.20x = 1,070,490.16 × 264,206.64
  4. Step 4: Simplify right side
    713,697.20x = 282,830,608,326.66
  5. Step 5: Solve for x
    x = 282,830,608,326.66/713,697.20
  6. Step 6: Final answer
    x = 396,289.36

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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.