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Finding the Fourth Proportional to 713,061.75, 1,070,012.96 and 264,097.88

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Solution

The fourth proportional to 713,061.75, 1,070,012.96 and 264,097.88 is: 396,302.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,061.75 : 1,070,012.96 = 264,097.88 : x
  2. Step 2: Convert to fraction form
    713,061.75/1,070,012.96 = 264,097.88/x
  3. Step 3: Cross multiply
    713,061.75x = 1,070,012.96 × 264,097.88
  4. Step 4: Simplify right side
    713,061.75x = 282,588,147,637.97
  5. Step 5: Solve for x
    x = 282,588,147,637.97/713,061.75
  6. Step 6: Final answer
    x = 396,302.49

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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.