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Finding the Fourth Proportional to 314,698.66, 472,044.42 and 188,374.20

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Solution

The fourth proportional to 314,698.66, 472,044.42 and 188,374.20 is: 282,559.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,698.66 : 472,044.42 = 188,374.20 : x
  2. Step 2: Convert to fraction form
    314,698.66/472,044.42 = 188,374.20/x
  3. Step 3: Cross multiply
    314,698.66x = 472,044.42 × 188,374.20
  4. Step 4: Simplify right side
    314,698.66x = 88,920,989,981.96
  5. Step 5: Solve for x
    x = 88,920,989,981.96/314,698.66
  6. Step 6: Final answer
    x = 282,559.16

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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.