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Finding the Fourth Proportional to 523,509.98, 785,267.96 and 186,563.57

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Solution

The fourth proportional to 523,509.98, 785,267.96 and 186,563.57 is: 279,846.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,509.98 : 785,267.96 = 186,563.57 : x
  2. Step 2: Convert to fraction form
    523,509.98/785,267.96 = 186,563.57/x
  3. Step 3: Cross multiply
    523,509.98x = 785,267.96 × 186,563.57
  4. Step 4: Simplify right side
    523,509.98x = 146,502,389,165.06
  5. Step 5: Solve for x
    x = 146,502,389,165.06/523,509.98
  6. Step 6: Final answer
    x = 279,846.41

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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.