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Finding the Fourth Proportional to 506,091.42, 697,953.75 and 419,913.90

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Solution

The fourth proportional to 506,091.42, 697,953.75 and 419,913.90 is: 579,105.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,091.42 : 697,953.75 = 419,913.90 : x
  2. Step 2: Convert to fraction form
    506,091.42/697,953.75 = 419,913.90/x
  3. Step 3: Cross multiply
    506,091.42x = 697,953.75 × 419,913.90
  4. Step 4: Simplify right side
    506,091.42x = 293,080,481,182.13
  5. Step 5: Solve for x
    x = 293,080,481,182.13/506,091.42
  6. Step 6: Final answer
    x = 579,105.81

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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.