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Finding the Fourth Proportional to 540,643.83, 809,784.49 and 273,946.47

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Solution

The fourth proportional to 540,643.83, 809,784.49 and 273,946.47 is: 410,321.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,643.83 : 809,784.49 = 273,946.47 : x
  2. Step 2: Convert to fraction form
    540,643.83/809,784.49 = 273,946.47/x
  3. Step 3: Cross multiply
    540,643.83x = 809,784.49 × 273,946.47
  4. Step 4: Simplify right side
    540,643.83x = 221,837,602,496.25
  5. Step 5: Solve for x
    x = 221,837,602,496.25/540,643.83
  6. Step 6: Final answer
    x = 410,321.16

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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.