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Finding the Fourth Proportional to 312,134.48, 430,744.20 and 168,897.08

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Solution

The fourth proportional to 312,134.48, 430,744.20 and 168,897.08 is: 233,077.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,134.48 : 430,744.20 = 168,897.08 : x
  2. Step 2: Convert to fraction form
    312,134.48/430,744.20 = 168,897.08/x
  3. Step 3: Cross multiply
    312,134.48x = 430,744.20 × 168,897.08
  4. Step 4: Simplify right side
    312,134.48x = 72,751,437,606.94
  5. Step 5: Solve for x
    x = 72,751,437,606.94/312,134.48
  6. Step 6: Final answer
    x = 233,077.22

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1.5x scale

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.