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Finding the Fourth Proportional to 472,762.01, 709,149.29 and 148,539.58

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Solution

The fourth proportional to 472,762.01, 709,149.29 and 148,539.58 is: 222,811.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,762.01 : 709,149.29 = 148,539.58 : x
  2. Step 2: Convert to fraction form
    472,762.01/709,149.29 = 148,539.58/x
  3. Step 3: Cross multiply
    472,762.01x = 709,149.29 × 148,539.58
  4. Step 4: Simplify right side
    472,762.01x = 105,336,735,178.33
  5. Step 5: Solve for x
    x = 105,336,735,178.33/472,762.01
  6. Step 6: Final answer
    x = 222,811.34

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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.