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Finding the Fourth Proportional to 405,047.39, 607,657.14 and 138,736.40

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Solution

The fourth proportional to 405,047.39, 607,657.14 and 138,736.40 is: 208,134.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,047.39 : 607,657.14 = 138,736.40 : x
  2. Step 2: Convert to fraction form
    405,047.39/607,657.14 = 138,736.40/x
  3. Step 3: Cross multiply
    405,047.39x = 607,657.14 × 138,736.40
  4. Step 4: Simplify right side
    405,047.39x = 84,304,160,999.61
  5. Step 5: Solve for x
    x = 84,304,160,999.61/405,047.39
  6. Step 6: Final answer
    x = 208,134.07

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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.