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Finding the Fourth Proportional to 233,419.95, 349,853.10 and 209,615.80

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Solution

The fourth proportional to 233,419.95, 349,853.10 and 209,615.80 is: 314,175.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,419.95 : 349,853.10 = 209,615.80 : x
  2. Step 2: Convert to fraction form
    233,419.95/349,853.10 = 209,615.80/x
  3. Step 3: Cross multiply
    233,419.95x = 349,853.10 × 209,615.80
  4. Step 4: Simplify right side
    233,419.95x = 73,334,737,438.98
  5. Step 5: Solve for x
    x = 73,334,737,438.98/233,419.95
  6. Step 6: Final answer
    x = 314,175.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.