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Finding the Fourth Proportional to 520,160.50, 717,879.90 and 293,820.58

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Solution

The fourth proportional to 520,160.50, 717,879.90 and 293,820.58 is: 405,505.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,160.50 : 717,879.90 = 293,820.58 : x
  2. Step 2: Convert to fraction form
    520,160.50/717,879.90 = 293,820.58/x
  3. Step 3: Cross multiply
    520,160.50x = 717,879.90 × 293,820.58
  4. Step 4: Simplify right side
    520,160.50x = 210,927,888,588.34
  5. Step 5: Solve for x
    x = 210,927,888,588.34/520,160.50
  6. Step 6: Final answer
    x = 405,505.39

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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.