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Finding the Fourth Proportional to 713,731.11, 1,070,257.68 and 414,303.48

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Solution

The fourth proportional to 713,731.11, 1,070,257.68 and 414,303.48 is: 621,258.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,731.11 : 1,070,257.68 = 414,303.48 : x
  2. Step 2: Convert to fraction form
    713,731.11/1,070,257.68 = 414,303.48/x
  3. Step 3: Cross multiply
    713,731.11x = 1,070,257.68 × 414,303.48
  4. Step 4: Simplify right side
    713,731.11x = 443,411,481,320.73
  5. Step 5: Solve for x
    x = 443,411,481,320.73/713,731.11
  6. Step 6: Final answer
    x = 621,258.45

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