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Finding the Fourth Proportional to 780,308.51, 1,170,462.74 and 219,343.01

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Solution

The fourth proportional to 780,308.51, 1,170,462.74 and 219,343.01 is: 329,014.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,308.51 : 1,170,462.74 = 219,343.01 : x
  2. Step 2: Convert to fraction form
    780,308.51/1,170,462.74 = 219,343.01/x
  3. Step 3: Cross multiply
    780,308.51x = 1,170,462.74 × 219,343.01
  4. Step 4: Simplify right side
    780,308.51x = 256,732,813,535.42
  5. Step 5: Solve for x
    x = 256,732,813,535.42/780,308.51
  6. Step 6: Final answer
    x = 329,014.50

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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.