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Finding the Fourth Proportional to 456,206.40, 684,309.60 and 123,782.40

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Solution

The fourth proportional to 456,206.40, 684,309.60 and 123,782.40 is: 185,673.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,206.40 : 684,309.60 = 123,782.40 : x
  2. Step 2: Convert to fraction form
    456,206.40/684,309.60 = 123,782.40/x
  3. Step 3: Cross multiply
    456,206.40x = 684,309.60 × 123,782.40
  4. Step 4: Simplify right side
    456,206.40x = 84,705,484,631.04
  5. Step 5: Solve for x
    x = 84,705,484,631.04/456,206.40
  6. Step 6: Final answer
    x = 185,673.60

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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.