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Finding the Fourth Proportional to 314,222.62, 471,407.73 and 103,860.53

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Solution

The fourth proportional to 314,222.62, 471,407.73 and 103,860.53 is: 155,815.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,222.62 : 471,407.73 = 103,860.53 : x
  2. Step 2: Convert to fraction form
    314,222.62/471,407.73 = 103,860.53/x
  3. Step 3: Cross multiply
    314,222.62x = 471,407.73 × 103,860.53
  4. Step 4: Simplify right side
    314,222.62x = 48,960,657,472.94
  5. Step 5: Solve for x
    x = 48,960,657,472.94/314,222.62
  6. Step 6: Final answer
    x = 155,815.19

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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.