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Finding the Fourth Proportional to 314,708.99, 472,066.76 and 251,928.20

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Solution

The fourth proportional to 314,708.99, 472,066.76 and 251,928.20 is: 377,894.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,708.99 : 472,066.76 = 251,928.20 : x
  2. Step 2: Convert to fraction form
    314,708.99/472,066.76 = 251,928.20/x
  3. Step 3: Cross multiply
    314,708.99x = 472,066.76 × 251,928.20
  4. Step 4: Simplify right side
    314,708.99x = 118,926,925,506.66
  5. Step 5: Solve for x
    x = 118,926,925,506.66/314,708.99
  6. Step 6: Final answer
    x = 377,894.91

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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.