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Finding the Fourth Proportional to 506,496.64, 759,857.28 and 190,956.28

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Solution

The fourth proportional to 506,496.64, 759,857.28 and 190,956.28 is: 286,476.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,496.64 : 759,857.28 = 190,956.28 : x
  2. Step 2: Convert to fraction form
    506,496.64/759,857.28 = 190,956.28/x
  3. Step 3: Cross multiply
    506,496.64x = 759,857.28 × 190,956.28
  4. Step 4: Simplify right side
    506,496.64x = 145,099,519,519.72
  5. Step 5: Solve for x
    x = 145,099,519,519.72/506,496.64
  6. Step 6: Final answer
    x = 286,476.77

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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.