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Finding the Fourth Proportional to 713,709.90, 1,070,566.74 and 240,727.14

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Solution

The fourth proportional to 713,709.90, 1,070,566.74 and 240,727.14 is: 361,091.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,709.90 : 1,070,566.74 = 240,727.14 : x
  2. Step 2: Convert to fraction form
    713,709.90/1,070,566.74 = 240,727.14/x
  3. Step 3: Cross multiply
    713,709.90x = 1,070,566.74 × 240,727.14
  4. Step 4: Simplify right side
    713,709.90x = 257,714,469,499.32
  5. Step 5: Solve for x
    x = 257,714,469,499.32/713,709.90
  6. Step 6: Final answer
    x = 361,091.35

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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.