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Finding the Fourth Proportional to 289,663.25, 434,614.79 and 156,386.77

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Solution

The fourth proportional to 289,663.25, 434,614.79 and 156,386.77 is: 234,644.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,663.25 : 434,614.79 = 156,386.77 : x
  2. Step 2: Convert to fraction form
    289,663.25/434,614.79 = 156,386.77/x
  3. Step 3: Cross multiply
    289,663.25x = 434,614.79 × 156,386.77
  4. Step 4: Simplify right side
    289,663.25x = 67,968,001,333.86
  5. Step 5: Solve for x
    x = 67,968,001,333.86/289,663.25
  6. Step 6: Final answer
    x = 234,644.89

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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.