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Finding the Fourth Proportional to 314,622.87, 471,920.61 and 101,386.02

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Solution

The fourth proportional to 314,622.87, 471,920.61 and 101,386.02 is: 152,074.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,622.87 : 471,920.61 = 101,386.02 : x
  2. Step 2: Convert to fraction form
    314,622.87/471,920.61 = 101,386.02/x
  3. Step 3: Cross multiply
    314,622.87x = 471,920.61 × 101,386.02
  4. Step 4: Simplify right side
    314,622.87x = 47,846,152,403.87
  5. Step 5: Solve for x
    x = 47,846,152,403.87/314,622.87
  6. Step 6: Final answer
    x = 152,074.62

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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.