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Finding the Fourth Proportional to 465,838.14, 642,841.63 and 261,897.63

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Solution

The fourth proportional to 465,838.14, 642,841.63 and 261,897.63 is: 361,410.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,838.14 : 642,841.63 = 261,897.63 : x
  2. Step 2: Convert to fraction form
    465,838.14/642,841.63 = 261,897.63/x
  3. Step 3: Cross multiply
    465,838.14x = 642,841.63 × 261,897.63
  4. Step 4: Simplify right side
    465,838.14x = 168,358,699,362.34
  5. Step 5: Solve for x
    x = 168,358,699,362.34/465,838.14
  6. Step 6: Final answer
    x = 361,410.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.