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Finding the Fourth Proportional to 514,783.74, 710,161.29 and 323,902.38

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Solution

The fourth proportional to 514,783.74, 710,161.29 and 323,902.38 is: 446,834.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,783.74 : 710,161.29 = 323,902.38 : x
  2. Step 2: Convert to fraction form
    514,783.74/710,161.29 = 323,902.38/x
  3. Step 3: Cross multiply
    514,783.74x = 710,161.29 × 323,902.38
  4. Step 4: Simplify right side
    514,783.74x = 230,022,932,014.87
  5. Step 5: Solve for x
    x = 230,022,932,014.87/514,783.74
  6. Step 6: Final answer
    x = 446,834.11

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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.