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Finding the Fourth Proportional to 713,542.14, 1,069,713 and 334,262.88

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Solution

The fourth proportional to 713,542.14, 1,069,713 and 334,262.88 is: 501,113.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,542.14 : 1,069,713 = 334,262.88 : x
  2. Step 2: Convert to fraction form
    713,542.14/1,069,713 = 334,262.88/x
  3. Step 3: Cross multiply
    713,542.14x = 1,069,713 × 334,262.88
  4. Step 4: Simplify right side
    713,542.14x = 357,565,348,153.44
  5. Step 5: Solve for x
    x = 357,565,348,153.44/713,542.14
  6. Step 6: Final answer
    x = 501,113.15

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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.