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Finding the Fourth Proportional to 415,748.20, 623,622.30 and 409,527.40

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Solution

The fourth proportional to 415,748.20, 623,622.30 and 409,527.40 is: 614,291.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,748.20 : 623,622.30 = 409,527.40 : x
  2. Step 2: Convert to fraction form
    415,748.20/623,622.30 = 409,527.40/x
  3. Step 3: Cross multiply
    415,748.20x = 623,622.30 × 409,527.40
  4. Step 4: Simplify right side
    415,748.20x = 255,390,419,101.02
  5. Step 5: Solve for x
    x = 255,390,419,101.02/415,748.20
  6. Step 6: Final answer
    x = 614,291.10

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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.