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Finding the Fourth Proportional to 369,086.82, 509,341.48 and 207,944.34

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Solution

The fourth proportional to 369,086.82, 509,341.48 and 207,944.34 is: 286,964.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,086.82 : 509,341.48 = 207,944.34 : x
  2. Step 2: Convert to fraction form
    369,086.82/509,341.48 = 207,944.34/x
  3. Step 3: Cross multiply
    369,086.82x = 509,341.48 × 207,944.34
  4. Step 4: Simplify right side
    369,086.82x = 105,914,677,893.22
  5. Step 5: Solve for x
    x = 105,914,677,893.22/369,086.82
  6. Step 6: Final answer
    x = 286,964.13

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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.