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Finding the Fourth Proportional to 314,648.58, 472,041.21 and 114,968.65

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Solution

The fourth proportional to 314,648.58, 472,041.21 and 114,968.65 is: 172,477.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,648.58 : 472,041.21 = 114,968.65 : x
  2. Step 2: Convert to fraction form
    314,648.58/472,041.21 = 114,968.65/x
  3. Step 3: Cross multiply
    314,648.58x = 472,041.21 × 114,968.65
  4. Step 4: Simplify right side
    314,648.58x = 54,269,940,658.07
  5. Step 5: Solve for x
    x = 54,269,940,658.07/314,648.58
  6. Step 6: Final answer
    x = 172,477.95

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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.