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Finding the Fourth Proportional to 506,089.92, 697,951.68 and 419,912.40

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Solution

The fourth proportional to 506,089.92, 697,951.68 and 419,912.40 is: 579,103.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,089.92 : 697,951.68 = 419,912.40 : x
  2. Step 2: Convert to fraction form
    506,089.92/697,951.68 = 419,912.40/x
  3. Step 3: Cross multiply
    506,089.92x = 697,951.68 × 419,912.40
  4. Step 4: Simplify right side
    506,089.92x = 293,078,565,032.83
  5. Step 5: Solve for x
    x = 293,078,565,032.83/506,089.92
  6. Step 6: Final answer
    x = 579,103.74

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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.