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Finding the Fourth Proportional to 503,929, 755,971.26 and 188,430.76

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Solution

The fourth proportional to 503,929, 755,971.26 and 188,430.76 is: 282,675.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,929 : 755,971.26 = 188,430.76 : x
  2. Step 2: Convert to fraction form
    503,929/755,971.26 = 188,430.76/x
  3. Step 3: Cross multiply
    503,929x = 755,971.26 × 188,430.76
  4. Step 4: Simplify right side
    503,929x = 142,448,239,059.96
  5. Step 5: Solve for x
    x = 142,448,239,059.96/503,929
  6. Step 6: Final answer
    x = 282,675.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.