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Finding the Fourth Proportional to 713,422.64, 1,070,017.32 and 214,670

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Solution

The fourth proportional to 713,422.64, 1,070,017.32 and 214,670 is: 321,969.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,422.64 : 1,070,017.32 = 214,670 : x
  2. Step 2: Convert to fraction form
    713,422.64/1,070,017.32 = 214,670/x
  3. Step 3: Cross multiply
    713,422.64x = 1,070,017.32 × 214,670
  4. Step 4: Simplify right side
    713,422.64x = 229,700,618,084.40
  5. Step 5: Solve for x
    x = 229,700,618,084.40/713,422.64
  6. Step 6: Final answer
    x = 321,969.90

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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.