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Finding the Fourth Proportional to 314,090.70, 433,448.53 and 170,851.11

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Solution

The fourth proportional to 314,090.70, 433,448.53 and 170,851.11 is: 235,776.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,090.70 : 433,448.53 = 170,851.11 : x
  2. Step 2: Convert to fraction form
    314,090.70/433,448.53 = 170,851.11/x
  3. Step 3: Cross multiply
    314,090.70x = 433,448.53 × 170,851.11
  4. Step 4: Simplify right side
    314,090.70x = 74,055,162,478.37
  5. Step 5: Solve for x
    x = 74,055,162,478.37/314,090.70
  6. Step 6: Final answer
    x = 235,776.36

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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.