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Finding the Fourth Proportional to 405,706.86, 608,552.73 and 121,397.58

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Solution

The fourth proportional to 405,706.86, 608,552.73 and 121,397.58 is: 182,094.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,706.86 : 608,552.73 = 121,397.58 : x
  2. Step 2: Convert to fraction form
    405,706.86/608,552.73 = 121,397.58/x
  3. Step 3: Cross multiply
    405,706.86x = 608,552.73 × 121,397.58
  4. Step 4: Simplify right side
    405,706.86x = 73,876,828,724.39
  5. Step 5: Solve for x
    x = 73,876,828,724.39/405,706.86
  6. Step 6: Final answer
    x = 182,094.11

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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.