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Finding the Fourth Proportional to 357,126.84, 492,841.06 and 195,996.87

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Solution

The fourth proportional to 357,126.84, 492,841.06 and 195,996.87 is: 270,478.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,126.84 : 492,841.06 = 195,996.87 : x
  2. Step 2: Convert to fraction form
    357,126.84/492,841.06 = 195,996.87/x
  3. Step 3: Cross multiply
    357,126.84x = 492,841.06 × 195,996.87
  4. Step 4: Simplify right side
    357,126.84x = 96,595,304,677.49
  5. Step 5: Solve for x
    x = 96,595,304,677.49/357,126.84
  6. Step 6: Final answer
    x = 270,478.98

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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.