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Finding the Fourth Proportional to 407,135.59, 561,762.98 and 235,050.58

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Solution

The fourth proportional to 407,135.59, 561,762.98 and 235,050.58 is: 324,321.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,135.59 : 561,762.98 = 235,050.58 : x
  2. Step 2: Convert to fraction form
    407,135.59/561,762.98 = 235,050.58/x
  3. Step 3: Cross multiply
    407,135.59x = 561,762.98 × 235,050.58
  4. Step 4: Simplify right side
    407,135.59x = 132,042,712,050.34
  5. Step 5: Solve for x
    x = 132,042,712,050.34/407,135.59
  6. Step 6: Final answer
    x = 324,321.22

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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.