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Finding the Fourth Proportional to 516,216.60, 774,324.90 and 409,928.40

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Solution

The fourth proportional to 516,216.60, 774,324.90 and 409,928.40 is: 614,892.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,216.60 : 774,324.90 = 409,928.40 : x
  2. Step 2: Convert to fraction form
    516,216.60/774,324.90 = 409,928.40/x
  3. Step 3: Cross multiply
    516,216.60x = 774,324.90 × 409,928.40
  4. Step 4: Simplify right side
    516,216.60x = 317,417,767,337.16
  5. Step 5: Solve for x
    x = 317,417,767,337.16/516,216.60
  6. Step 6: Final answer
    x = 614,892.60

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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.