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Finding the Fourth Proportional to 366,931.32, 506,342.70 and 205,774.68

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Solution

The fourth proportional to 366,931.32, 506,342.70 and 205,774.68 is: 283,956.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,931.32 : 506,342.70 = 205,774.68 : x
  2. Step 2: Convert to fraction form
    366,931.32/506,342.70 = 205,774.68/x
  3. Step 3: Cross multiply
    366,931.32x = 506,342.70 × 205,774.68
  4. Step 4: Simplify right side
    366,931.32x = 104,192,507,062.84
  5. Step 5: Solve for x
    x = 104,192,507,062.84/366,931.32
  6. Step 6: Final answer
    x = 283,956.43

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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.