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Finding the Fourth Proportional to 702,907.37, 970,083.78 and 506,835.14

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Solution

The fourth proportional to 702,907.37, 970,083.78 and 506,835.14 is: 699,484.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,907.37 : 970,083.78 = 506,835.14 : x
  2. Step 2: Convert to fraction form
    702,907.37/970,083.78 = 506,835.14/x
  3. Step 3: Cross multiply
    702,907.37x = 970,083.78 × 506,835.14
  4. Step 4: Simplify right side
    702,907.37x = 491,672,548,448.03
  5. Step 5: Solve for x
    x = 491,672,548,448.03/702,907.37
  6. Step 6: Final answer
    x = 699,484.13

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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.