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Finding the Fourth Proportional to 314,177.69, 433,552.26 and 170,938.31

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Solution

The fourth proportional to 314,177.69, 433,552.26 and 170,938.31 is: 235,887.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,177.69 : 433,552.26 = 170,938.31 : x
  2. Step 2: Convert to fraction form
    314,177.69/433,552.26 = 170,938.31/x
  3. Step 3: Cross multiply
    314,177.69x = 433,552.26 × 170,938.31
  4. Step 4: Simplify right side
    314,177.69x = 74,110,689,094.34
  5. Step 5: Solve for x
    x = 74,110,689,094.34/314,177.69
  6. Step 6: Final answer
    x = 235,887.81

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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.