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Finding the Fourth Proportional to 713,011.20, 983,923.20 and 411,187.20

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Solution

The fourth proportional to 713,011.20, 983,923.20 and 411,187.20 is: 567,419.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,011.20 : 983,923.20 = 411,187.20 : x
  2. Step 2: Convert to fraction form
    713,011.20/983,923.20 = 411,187.20/x
  3. Step 3: Cross multiply
    713,011.20x = 983,923.20 × 411,187.20
  4. Step 4: Simplify right side
    713,011.20x = 404,576,625,623.04
  5. Step 5: Solve for x
    x = 404,576,625,623.04/713,011.20
  6. Step 6: Final answer
    x = 567,419.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.