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Finding the Fourth Proportional to 409,409.70, 614,114.55 and 290,436.90

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Solution

The fourth proportional to 409,409.70, 614,114.55 and 290,436.90 is: 435,655.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,409.70 : 614,114.55 = 290,436.90 : x
  2. Step 2: Convert to fraction form
    409,409.70/614,114.55 = 290,436.90/x
  3. Step 3: Cross multiply
    409,409.70x = 614,114.55 × 290,436.90
  4. Step 4: Simplify right side
    409,409.70x = 178,361,526,146.90
  5. Step 5: Solve for x
    x = 178,361,526,146.90/409,409.70
  6. Step 6: Final answer
    x = 435,655.35

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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.