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Finding the Fourth Proportional to 707,283.90, 976,077.63 and 384,978.42

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Solution

The fourth proportional to 707,283.90, 976,077.63 and 384,978.42 is: 531,284.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,283.90 : 976,077.63 = 384,978.42 : x
  2. Step 2: Convert to fraction form
    707,283.90/976,077.63 = 384,978.42/x
  3. Step 3: Cross multiply
    707,283.90x = 976,077.63 × 384,978.42
  4. Step 4: Simplify right side
    707,283.90x = 375,768,823,794.75
  5. Step 5: Solve for x
    x = 375,768,823,794.75/707,283.90
  6. Step 6: Final answer
    x = 531,284.29

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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.