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Finding the Fourth Proportional to 523,660.09, 785,551.65 and 186,748.64

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Solution

The fourth proportional to 523,660.09, 785,551.65 and 186,748.64 is: 280,144.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,660.09 : 785,551.65 = 186,748.64 : x
  2. Step 2: Convert to fraction form
    523,660.09/785,551.65 = 186,748.64/x
  3. Step 3: Cross multiply
    523,660.09x = 785,551.65 × 186,748.64
  4. Step 4: Simplify right side
    523,660.09x = 146,700,701,655.47
  5. Step 5: Solve for x
    x = 146,700,701,655.47/523,660.09
  6. Step 6: Final answer
    x = 280,144.90

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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.