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Finding the Fourth Proportional to 331,256.84, 457,145.69 and 186,088.24

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Solution

The fourth proportional to 331,256.84, 457,145.69 and 186,088.24 is: 256,808.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,256.84 : 457,145.69 = 186,088.24 : x
  2. Step 2: Convert to fraction form
    331,256.84/457,145.69 = 186,088.24/x
  3. Step 3: Cross multiply
    331,256.84x = 457,145.69 × 186,088.24
  4. Step 4: Simplify right side
    331,256.84x = 85,069,434,802.38
  5. Step 5: Solve for x
    x = 85,069,434,802.38/331,256.84
  6. Step 6: Final answer
    x = 256,808.08

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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.