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Finding the Fourth Proportional to 345,870.56, 477,302.16 and 194,967.56

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Solution

The fourth proportional to 345,870.56, 477,302.16 and 194,967.56 is: 269,055.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,870.56 : 477,302.16 = 194,967.56 : x
  2. Step 2: Convert to fraction form
    345,870.56/477,302.16 = 194,967.56/x
  3. Step 3: Cross multiply
    345,870.56x = 477,302.16 × 194,967.56
  4. Step 4: Simplify right side
    345,870.56x = 93,058,437,517.93
  5. Step 5: Solve for x
    x = 93,058,437,517.93/345,870.56
  6. Step 6: Final answer
    x = 269,055.68

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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.