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Finding the Fourth Proportional to 409,621.80, 614,432.70 and 376,444.20

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Solution

The fourth proportional to 409,621.80, 614,432.70 and 376,444.20 is: 564,666.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,621.80 : 614,432.70 = 376,444.20 : x
  2. Step 2: Convert to fraction form
    409,621.80/614,432.70 = 376,444.20/x
  3. Step 3: Cross multiply
    409,621.80x = 614,432.70 × 376,444.20
  4. Step 4: Simplify right side
    409,621.80x = 231,299,626,205.34
  5. Step 5: Solve for x
    x = 231,299,626,205.34/409,621.80
  6. Step 6: Final answer
    x = 564,666.30

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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.