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Finding the Fourth Proportional to 516,191.60, 774,287.40 and 409,903.40

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Solution

The fourth proportional to 516,191.60, 774,287.40 and 409,903.40 is: 614,855.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,191.60 : 774,287.40 = 409,903.40 : x
  2. Step 2: Convert to fraction form
    516,191.60/774,287.40 = 409,903.40/x
  3. Step 3: Cross multiply
    516,191.60x = 774,287.40 × 409,903.40
  4. Step 4: Simplify right side
    516,191.60x = 317,383,037,837.16
  5. Step 5: Solve for x
    x = 317,383,037,837.16/516,191.60
  6. Step 6: Final answer
    x = 614,855.10

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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.