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Finding the Fourth Proportional to 329,528, 454,667.10 and 186,284.96

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Solution

The fourth proportional to 329,528, 454,667.10 and 186,284.96 is: 257,027.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,528 : 454,667.10 = 186,284.96 : x
  2. Step 2: Convert to fraction form
    329,528/454,667.10 = 186,284.96/x
  3. Step 3: Cross multiply
    329,528x = 454,667.10 × 186,284.96
  4. Step 4: Simplify right side
    329,528x = 84,697,642,536.82
  5. Step 5: Solve for x
    x = 84,697,642,536.82/329,528
  6. Step 6: Final answer
    x = 257,027.15

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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.