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Finding the Fourth Proportional to 314,570.63, 471,930.75 and 101,358.71

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Solution

The fourth proportional to 314,570.63, 471,930.75 and 101,358.71 is: 152,062.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,570.63 : 471,930.75 = 101,358.71 : x
  2. Step 2: Convert to fraction form
    314,570.63/471,930.75 = 101,358.71/x
  3. Step 3: Cross multiply
    314,570.63x = 471,930.75 × 101,358.71
  4. Step 4: Simplify right side
    314,570.63x = 47,834,289,669.68
  5. Step 5: Solve for x
    x = 47,834,289,669.68/314,570.63
  6. Step 6: Final answer
    x = 152,062.16

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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.