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Finding the Fourth Proportional to 565,737.20, 780,717.34 and 311,088.39

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Solution

The fourth proportional to 565,737.20, 780,717.34 and 311,088.39 is: 429,301.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,737.20 : 780,717.34 = 311,088.39 : x
  2. Step 2: Convert to fraction form
    565,737.20/780,717.34 = 311,088.39/x
  3. Step 3: Cross multiply
    565,737.20x = 780,717.34 × 311,088.39
  4. Step 4: Simplify right side
    565,737.20x = 242,872,100,345.68
  5. Step 5: Solve for x
    x = 242,872,100,345.68/565,737.20
  6. Step 6: Final answer
    x = 429,301.98

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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.