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Finding the Fourth Proportional to 314,258.33, 433,675.68 and 171,018.33

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Solution

The fourth proportional to 314,258.33, 433,675.68 and 171,018.33 is: 236,004.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,258.33 : 433,675.68 = 171,018.33 : x
  2. Step 2: Convert to fraction form
    314,258.33/433,675.68 = 171,018.33/x
  3. Step 3: Cross multiply
    314,258.33x = 433,675.68 × 171,018.33
  4. Step 4: Simplify right side
    314,258.33x = 74,166,490,555.21
  5. Step 5: Solve for x
    x = 74,166,490,555.21/314,258.33
  6. Step 6: Final answer
    x = 236,004.86

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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.