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Finding the Fourth Proportional to 510,807.87, 704,915.06 and 296,072.42

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Solution

The fourth proportional to 510,807.87, 704,915.06 and 296,072.42 is: 408,580.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,807.87 : 704,915.06 = 296,072.42 : x
  2. Step 2: Convert to fraction form
    510,807.87/704,915.06 = 296,072.42/x
  3. Step 3: Cross multiply
    510,807.87x = 704,915.06 × 296,072.42
  4. Step 4: Simplify right side
    510,807.87x = 208,705,902,703.71
  5. Step 5: Solve for x
    x = 208,705,902,703.71/510,807.87
  6. Step 6: Final answer
    x = 408,580.05

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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.