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Finding the Fourth Proportional to 315,461.04, 435,342.81 and 172,227.12

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Solution

The fourth proportional to 315,461.04, 435,342.81 and 172,227.12 is: 237,677.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,461.04 : 435,342.81 = 172,227.12 : x
  2. Step 2: Convert to fraction form
    315,461.04/435,342.81 = 172,227.12/x
  3. Step 3: Cross multiply
    315,461.04x = 435,342.81 × 172,227.12
  4. Step 4: Simplify right side
    315,461.04x = 74,977,838,379.01
  5. Step 5: Solve for x
    x = 74,977,838,379.01/315,461.04
  6. Step 6: Final answer
    x = 237,677.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.