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Finding the Fourth Proportional to 711,223.94, 980,833.96 and 466,119.42

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Solution

The fourth proportional to 711,223.94, 980,833.96 and 466,119.42 is: 642,815.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,223.94 : 980,833.96 = 466,119.42 : x
  2. Step 2: Convert to fraction form
    711,223.94/980,833.96 = 466,119.42/x
  3. Step 3: Cross multiply
    711,223.94x = 980,833.96 × 466,119.42
  4. Step 4: Simplify right side
    711,223.94x = 457,185,756,214.62
  5. Step 5: Solve for x
    x = 457,185,756,214.62/711,223.94
  6. Step 6: Final answer
    x = 642,815.47

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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.