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Finding the Fourth Proportional to 477,793.84, 716,756.64 and 162,166

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Solution

The fourth proportional to 477,793.84, 716,756.64 and 162,166 is: 243,271.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,793.84 : 716,756.64 = 162,166 : x
  2. Step 2: Convert to fraction form
    477,793.84/716,756.64 = 162,166/x
  3. Step 3: Cross multiply
    477,793.84x = 716,756.64 × 162,166
  4. Step 4: Simplify right side
    477,793.84x = 116,233,557,282.24
  5. Step 5: Solve for x
    x = 116,233,557,282.24/477,793.84
  6. Step 6: Final answer
    x = 243,271.36

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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.