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Finding the Fourth Proportional to 357,210.84, 492,957.33 and 196,080.89

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Solution

The fourth proportional to 357,210.84, 492,957.33 and 196,080.89 is: 270,595.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,210.84 : 492,957.33 = 196,080.89 : x
  2. Step 2: Convert to fraction form
    357,210.84/492,957.33 = 196,080.89/x
  3. Step 3: Cross multiply
    357,210.84x = 492,957.33 × 196,080.89
  4. Step 4: Simplify right side
    357,210.84x = 96,659,508,798.33
  5. Step 5: Solve for x
    x = 96,659,508,798.33/357,210.84
  6. Step 6: Final answer
    x = 270,595.11

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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.