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Finding the Fourth Proportional to 406,133.73, 608,838.75 and 192,770.01

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Solution

The fourth proportional to 406,133.73, 608,838.75 and 192,770.01 is: 288,983.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,133.73 : 608,838.75 = 192,770.01 : x
  2. Step 2: Convert to fraction form
    406,133.73/608,838.75 = 192,770.01/x
  3. Step 3: Cross multiply
    406,133.73x = 608,838.75 × 192,770.01
  4. Step 4: Simplify right side
    406,133.73x = 117,365,851,925.89
  5. Step 5: Solve for x
    x = 117,365,851,925.89/406,133.73
  6. Step 6: Final answer
    x = 288,983.27

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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.