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Finding the Fourth Proportional to 329,681.58, 454,929.90 and 186,441.18

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Solution

The fourth proportional to 329,681.58, 454,929.90 and 186,441.18 is: 257,271.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,681.58 : 454,929.90 = 186,441.18 : x
  2. Step 2: Convert to fraction form
    329,681.58/454,929.90 = 186,441.18/x
  3. Step 3: Cross multiply
    329,681.58x = 454,929.90 × 186,441.18
  4. Step 4: Simplify right side
    329,681.58x = 84,817,667,373.28
  5. Step 5: Solve for x
    x = 84,817,667,373.28/329,681.58
  6. Step 6: Final answer
    x = 257,271.48

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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.