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Finding the Fourth Proportional to 357,740.99, 493,680.96 and 204,778.33

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Solution

The fourth proportional to 357,740.99, 493,680.96 and 204,778.33 is: 282,593.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,740.99 : 493,680.96 = 204,778.33 : x
  2. Step 2: Convert to fraction form
    357,740.99/493,680.96 = 204,778.33/x
  3. Step 3: Cross multiply
    357,740.99x = 493,680.96 × 204,778.33
  4. Step 4: Simplify right side
    357,740.99x = 101,095,161,307.39
  5. Step 5: Solve for x
    x = 101,095,161,307.39/357,740.99
  6. Step 6: Final answer
    x = 282,593.17

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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.