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Finding the Fourth Proportional to 406,945.06, 610,494.15 and 163,804.74

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Solution

The fourth proportional to 406,945.06, 610,494.15 and 163,804.74 is: 245,737.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,945.06 : 610,494.15 = 163,804.74 : x
  2. Step 2: Convert to fraction form
    406,945.06/610,494.15 = 163,804.74/x
  3. Step 3: Cross multiply
    406,945.06x = 610,494.15 × 163,804.74
  4. Step 4: Simplify right side
    406,945.06x = 100,001,835,512.27
  5. Step 5: Solve for x
    x = 100,001,835,512.27/406,945.06
  6. Step 6: Final answer
    x = 245,737.93

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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.