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Finding the Fourth Proportional to 352,005.40, 526,472.10 and 314,834.20

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Solution

The fourth proportional to 352,005.40, 526,472.10 and 314,834.20 is: 470,877.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,005.40 : 526,472.10 = 314,834.20 : x
  2. Step 2: Convert to fraction form
    352,005.40/526,472.10 = 314,834.20/x
  3. Step 3: Cross multiply
    352,005.40x = 526,472.10 × 314,834.20
  4. Step 4: Simplify right side
    352,005.40x = 165,751,422,425.82
  5. Step 5: Solve for x
    x = 165,751,422,425.82/352,005.40
  6. Step 6: Final answer
    x = 470,877.50

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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.