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Finding the Fourth Proportional to 474,495.53, 711,751.53 and 174,821.86

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Solution

The fourth proportional to 474,495.53, 711,751.53 and 174,821.86 is: 262,235.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,495.53 : 711,751.53 = 174,821.86 : x
  2. Step 2: Convert to fraction form
    474,495.53/711,751.53 = 174,821.86/x
  3. Step 3: Cross multiply
    474,495.53x = 711,751.53 × 174,821.86
  4. Step 4: Simplify right side
    474,495.53x = 124,429,722,773.69
  5. Step 5: Solve for x
    x = 124,429,722,773.69/474,495.53
  6. Step 6: Final answer
    x = 262,235.82

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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.