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Finding the Fourth Proportional to 713,355.76, 1,070,173.14 and 264,080.32

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Solution

The fourth proportional to 713,355.76, 1,070,173.14 and 264,080.32 is: 396,172.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,355.76 : 1,070,173.14 = 264,080.32 : x
  2. Step 2: Convert to fraction form
    713,355.76/1,070,173.14 = 264,080.32/x
  3. Step 3: Cross multiply
    713,355.76x = 1,070,173.14 × 264,080.32
  4. Step 4: Simplify right side
    713,355.76x = 282,611,665,266.61
  5. Step 5: Solve for x
    x = 282,611,665,266.61/713,355.76
  6. Step 6: Final answer
    x = 396,172.12

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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.