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Finding the Fourth Proportional to 314,810.10, 472,215.15 and 294,074.10

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Solution

The fourth proportional to 314,810.10, 472,215.15 and 294,074.10 is: 441,111.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,810.10 : 472,215.15 = 294,074.10 : x
  2. Step 2: Convert to fraction form
    314,810.10/472,215.15 = 294,074.10/x
  3. Step 3: Cross multiply
    314,810.10x = 472,215.15 × 294,074.10
  4. Step 4: Simplify right side
    314,810.10x = 138,866,245,242.62
  5. Step 5: Solve for x
    x = 138,866,245,242.62/314,810.10
  6. Step 6: Final answer
    x = 441,111.15

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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.