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Finding the Fourth Proportional to 369,928.32, 510,462 and 214,849.32

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Solution

The fourth proportional to 369,928.32, 510,462 and 214,849.32 is: 296,469.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,928.32 : 510,462 = 214,849.32 : x
  2. Step 2: Convert to fraction form
    369,928.32/510,462 = 214,849.32/x
  3. Step 3: Cross multiply
    369,928.32x = 510,462 × 214,849.32
  4. Step 4: Simplify right side
    369,928.32x = 109,672,413,585.84
  5. Step 5: Solve for x
    x = 109,672,413,585.84/369,928.32
  6. Step 6: Final answer
    x = 296,469.36

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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.