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Finding the Fourth Proportional to 328,320.40, 492,496.80 and 170,856.40

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Solution

The fourth proportional to 328,320.40, 492,496.80 and 170,856.40 is: 256,293.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,320.40 : 492,496.80 = 170,856.40 : x
  2. Step 2: Convert to fraction form
    328,320.40/492,496.80 = 170,856.40/x
  3. Step 3: Cross multiply
    328,320.40x = 492,496.80 × 170,856.40
  4. Step 4: Simplify right side
    328,320.40x = 84,146,230,259.52
  5. Step 5: Solve for x
    x = 84,146,230,259.52/328,320.40
  6. Step 6: Final answer
    x = 256,293.03

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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.