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Finding the Fourth Proportional to 523,909.14, 785,304.10 and 298,784.80

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Solution

The fourth proportional to 523,909.14, 785,304.10 and 298,784.80 is: 447,858.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,909.14 : 785,304.10 = 298,784.80 : x
  2. Step 2: Convert to fraction form
    523,909.14/785,304.10 = 298,784.80/x
  3. Step 3: Cross multiply
    523,909.14x = 785,304.10 × 298,784.80
  4. Step 4: Simplify right side
    523,909.14x = 234,636,928,457.68
  5. Step 5: Solve for x
    x = 234,636,928,457.68/523,909.14
  6. Step 6: Final answer
    x = 447,858.06

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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.