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Finding the Fourth Proportional to 566,484.80, 781,771.32 and 311,859.68

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Solution

The fourth proportional to 566,484.80, 781,771.32 and 311,859.68 is: 430,378.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,484.80 : 781,771.32 = 311,859.68 : x
  2. Step 2: Convert to fraction form
    566,484.80/781,771.32 = 311,859.68/x
  3. Step 3: Cross multiply
    566,484.80x = 781,771.32 × 311,859.68
  4. Step 4: Simplify right side
    566,484.80x = 243,802,953,688.38
  5. Step 5: Solve for x
    x = 243,802,953,688.38/566,484.80
  6. Step 6: Final answer
    x = 430,378.63

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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.