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Finding the Fourth Proportional to 314,345.52, 471,518.72 and 77,684.60

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Solution

The fourth proportional to 314,345.52, 471,518.72 and 77,684.60 is: 116,527.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,345.52 : 471,518.72 = 77,684.60 : x
  2. Step 2: Convert to fraction form
    314,345.52/471,518.72 = 77,684.60/x
  3. Step 3: Cross multiply
    314,345.52x = 471,518.72 × 77,684.60
  4. Step 4: Simplify right side
    314,345.52x = 36,629,743,155.71
  5. Step 5: Solve for x
    x = 36,629,743,155.71/314,345.52
  6. Step 6: Final answer
    x = 116,527.01

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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.