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Finding the Fourth Proportional to 510,575.75, 704,283.68 and 314,373.80

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Solution

The fourth proportional to 510,575.75, 704,283.68 and 314,373.80 is: 433,644.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,575.75 : 704,283.68 = 314,373.80 : x
  2. Step 2: Convert to fraction form
    510,575.75/704,283.68 = 314,373.80/x
  3. Step 3: Cross multiply
    510,575.75x = 704,283.68 × 314,373.80
  4. Step 4: Simplify right side
    510,575.75x = 221,408,331,666.30
  5. Step 5: Solve for x
    x = 221,408,331,666.30/510,575.75
  6. Step 6: Final answer
    x = 433,644.44

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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.