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Finding the Fourth Proportional to 356,908.64, 492,547.70 and 195,770.48

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Solution

The fourth proportional to 356,908.64, 492,547.70 and 195,770.48 is: 270,170.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,908.64 : 492,547.70 = 195,770.48 : x
  2. Step 2: Convert to fraction form
    356,908.64/492,547.70 = 195,770.48/x
  3. Step 3: Cross multiply
    356,908.64x = 492,547.70 × 195,770.48
  4. Step 4: Simplify right side
    356,908.64x = 96,426,297,678.58
  5. Step 5: Solve for x
    x = 96,426,297,678.58/356,908.64
  6. Step 6: Final answer
    x = 270,170.82

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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.