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Finding the Fourth Proportional to 314,058.89, 433,361.93 and 212,305.74

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Solution

The fourth proportional to 314,058.89, 433,361.93 and 212,305.74 is: 292,955.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,058.89 : 433,361.93 = 212,305.74 : x
  2. Step 2: Convert to fraction form
    314,058.89/433,361.93 = 212,305.74/x
  3. Step 3: Cross multiply
    314,058.89x = 433,361.93 × 212,305.74
  4. Step 4: Simplify right side
    314,058.89x = 92,005,224,174.95
  5. Step 5: Solve for x
    x = 92,005,224,174.95/314,058.89
  6. Step 6: Final answer
    x = 292,955.33

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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.