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Finding the Fourth Proportional to 506,494.30, 699,242.07 and 336,977.50

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Solution

The fourth proportional to 506,494.30, 699,242.07 and 336,977.50 is: 465,215.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,494.30 : 699,242.07 = 336,977.50 : x
  2. Step 2: Convert to fraction form
    506,494.30/699,242.07 = 336,977.50/x
  3. Step 3: Cross multiply
    506,494.30x = 699,242.07 × 336,977.50
  4. Step 4: Simplify right side
    506,494.30x = 235,628,844,643.43
  5. Step 5: Solve for x
    x = 235,628,844,643.43/506,494.30
  6. Step 6: Final answer
    x = 465,215.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.