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Finding the Fourth Proportional to 780,031, 1,170,046.52 and 189,055

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Solution

The fourth proportional to 780,031, 1,170,046.52 and 189,055 is: 283,582.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,031 : 1,170,046.52 = 189,055 : x
  2. Step 2: Convert to fraction form
    780,031/1,170,046.52 = 189,055/x
  3. Step 3: Cross multiply
    780,031x = 1,170,046.52 × 189,055
  4. Step 4: Simplify right side
    780,031x = 221,203,144,838.60
  5. Step 5: Solve for x
    x = 221,203,144,838.60/780,031
  6. Step 6: Final answer
    x = 283,582.50

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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.