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Finding the Fourth Proportional to 506,068.56, 697,922.34 and 419,891.16

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Solution

The fourth proportional to 506,068.56, 697,922.34 and 419,891.16 is: 579,074.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,068.56 : 697,922.34 = 419,891.16 : x
  2. Step 2: Convert to fraction form
    506,068.56/697,922.34 = 419,891.16/x
  3. Step 3: Cross multiply
    506,068.56x = 697,922.34 × 419,891.16
  4. Step 4: Simplify right side
    506,068.56x = 293,051,420,932.51
  5. Step 5: Solve for x
    x = 293,051,420,932.51/506,068.56
  6. Step 6: Final answer
    x = 579,074.54

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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.