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Finding the Fourth Proportional to 315,378.66, 435,206.32 and 172,111.03

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Solution

The fourth proportional to 315,378.66, 435,206.32 and 172,111.03 is: 237,504.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,378.66 : 435,206.32 = 172,111.03 : x
  2. Step 2: Convert to fraction form
    315,378.66/435,206.32 = 172,111.03/x
  3. Step 3: Cross multiply
    315,378.66x = 435,206.32 × 172,111.03
  4. Step 4: Simplify right side
    315,378.66x = 74,903,806,479.42
  5. Step 5: Solve for x
    x = 74,903,806,479.42/315,378.66
  6. Step 6: Final answer
    x = 237,504.36

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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.