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Finding the Fourth Proportional to 400,776.53, 553,446.27 and 257,784.80

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Solution

The fourth proportional to 400,776.53, 553,446.27 and 257,784.80 is: 355,984.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,776.53 : 553,446.27 = 257,784.80 : x
  2. Step 2: Convert to fraction form
    400,776.53/553,446.27 = 257,784.80/x
  3. Step 3: Cross multiply
    400,776.53x = 553,446.27 × 257,784.80
  4. Step 4: Simplify right side
    400,776.53x = 142,670,033,255.47
  5. Step 5: Solve for x
    x = 142,670,033,255.47/400,776.53
  6. Step 6: Final answer
    x = 355,984.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.