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Finding the Fourth Proportional to 314,784.77, 472,269.29 and 101,548.62

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Solution

The fourth proportional to 314,784.77, 472,269.29 and 101,548.62 is: 152,352.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,784.77 : 472,269.29 = 101,548.62 : x
  2. Step 2: Convert to fraction form
    314,784.77/472,269.29 = 101,548.62/x
  3. Step 3: Cross multiply
    314,784.77x = 472,269.29 × 101,548.62
  4. Step 4: Simplify right side
    314,784.77x = 47,958,294,160.14
  5. Step 5: Solve for x
    x = 47,958,294,160.14/314,784.77
  6. Step 6: Final answer
    x = 152,352.65

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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.