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Finding the Fourth Proportional to 357,312.96, 535,781.52 and 188,923.68

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Solution

The fourth proportional to 357,312.96, 535,781.52 and 188,923.68 is: 283,286.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,312.96 : 535,781.52 = 188,923.68 : x
  2. Step 2: Convert to fraction form
    357,312.96/535,781.52 = 188,923.68/x
  3. Step 3: Cross multiply
    357,312.96x = 535,781.52 × 188,923.68
  4. Step 4: Simplify right side
    357,312.96x = 101,221,816,434.39
  5. Step 5: Solve for x
    x = 101,221,816,434.39/357,312.96
  6. Step 6: Final answer
    x = 283,286.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.