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Finding the Fourth Proportional to 314,235.72, 433,646.73 and 170,994.78

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Solution

The fourth proportional to 314,235.72, 433,646.73 and 170,994.78 is: 235,973.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,235.72 : 433,646.73 = 170,994.78 : x
  2. Step 2: Convert to fraction form
    314,235.72/433,646.73 = 170,994.78/x
  3. Step 3: Cross multiply
    314,235.72x = 433,646.73 × 170,994.78
  4. Step 4: Simplify right side
    314,235.72x = 74,151,327,194.07
  5. Step 5: Solve for x
    x = 74,151,327,194.07/314,235.72
  6. Step 6: Final answer
    x = 235,973.58

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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.