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Finding the Fourth Proportional to 590,979.20, 829,470.40 and 590,979.20

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Solution

The fourth proportional to 590,979.20, 829,470.40 and 590,979.20 is: 829,470.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,979.20 : 829,470.40 = 590,979.20 : x
  2. Step 2: Convert to fraction form
    590,979.20/829,470.40 = 590,979.20/x
  3. Step 3: Cross multiply
    590,979.20x = 829,470.40 × 590,979.20
  4. Step 4: Simplify right side
    590,979.20x = 490,199,753,415.68
  5. Step 5: Solve for x
    x = 490,199,753,415.68/590,979.20
  6. Step 6: Final answer
    x = 829,470.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.