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Finding the Fourth Proportional to 409,353.40, 614,030.10 and 128,834.20

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Solution

The fourth proportional to 409,353.40, 614,030.10 and 128,834.20 is: 193,251.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,353.40 : 614,030.10 = 128,834.20 : x
  2. Step 2: Convert to fraction form
    409,353.40/614,030.10 = 128,834.20/x
  3. Step 3: Cross multiply
    409,353.40x = 614,030.10 × 128,834.20
  4. Step 4: Simplify right side
    409,353.40x = 79,108,076,709.42
  5. Step 5: Solve for x
    x = 79,108,076,709.42/409,353.40
  6. Step 6: Final answer
    x = 193,251.30

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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.