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Finding the Fourth Proportional to 522,857.60, 784,804.80 and 256,918.40

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Solution

The fourth proportional to 522,857.60, 784,804.80 and 256,918.40 is: 385,632.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,857.60 : 784,804.80 = 256,918.40 : x
  2. Step 2: Convert to fraction form
    522,857.60/784,804.80 = 256,918.40/x
  3. Step 3: Cross multiply
    522,857.60x = 784,804.80 × 256,918.40
  4. Step 4: Simplify right side
    522,857.60x = 201,630,793,528.32
  5. Step 5: Solve for x
    x = 201,630,793,528.32/522,857.60
  6. Step 6: Final answer
    x = 385,632.33

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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.