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Finding the Fourth Proportional to 578,645.40, 811,969.80 and 578,645.40

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Solution

The fourth proportional to 578,645.40, 811,969.80 and 578,645.40 is: 811,969.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,645.40 : 811,969.80 = 578,645.40 : x
  2. Step 2: Convert to fraction form
    578,645.40/811,969.80 = 578,645.40/x
  3. Step 3: Cross multiply
    578,645.40x = 811,969.80 × 578,645.40
  4. Step 4: Simplify right side
    578,645.40x = 469,842,589,708.92
  5. Step 5: Solve for x
    x = 469,842,589,708.92/578,645.40
  6. Step 6: Final answer
    x = 811,969.80

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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.