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Finding the Fourth Proportional to 523,659.69, 785,551.03 and 186,748.23

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Solution

The fourth proportional to 523,659.69, 785,551.03 and 186,748.23 is: 280,144.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,659.69 : 785,551.03 = 186,748.23 : x
  2. Step 2: Convert to fraction form
    523,659.69/785,551.03 = 186,748.23/x
  3. Step 3: Cross multiply
    523,659.69x = 785,551.03 × 186,748.23
  4. Step 4: Simplify right side
    523,659.69x = 146,700,264,427.18
  5. Step 5: Solve for x
    x = 146,700,264,427.18/523,659.69
  6. Step 6: Final answer
    x = 280,144.28

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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.