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Finding the Fourth Proportional to 406,845, 610,267.50 and 157,527

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Solution

The fourth proportional to 406,845, 610,267.50 and 157,527 is: 236,290.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,845 : 610,267.50 = 157,527 : x
  2. Step 2: Convert to fraction form
    406,845/610,267.50 = 157,527/x
  3. Step 3: Cross multiply
    406,845x = 610,267.50 × 157,527
  4. Step 4: Simplify right side
    406,845x = 96,133,608,472.50
  5. Step 5: Solve for x
    x = 96,133,608,472.50/406,845
  6. Step 6: Final answer
    x = 236,290.50

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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.