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Finding the Fourth Proportional to 369,198.66, 509,664.24 and 216,215.58

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Solution

The fourth proportional to 369,198.66, 509,664.24 and 216,215.58 is: 298,477.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,198.66 : 509,664.24 = 216,215.58 : x
  2. Step 2: Convert to fraction form
    369,198.66/509,664.24 = 216,215.58/x
  3. Step 3: Cross multiply
    369,198.66x = 509,664.24 × 216,215.58
  4. Step 4: Simplify right side
    369,198.66x = 110,197,349,256.86
  5. Step 5: Solve for x
    x = 110,197,349,256.86/369,198.66
  6. Step 6: Final answer
    x = 298,477.11

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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.