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Finding the Fourth Proportional to 522,783.48, 784,507.32 and 223,266.54

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Solution

The fourth proportional to 522,783.48, 784,507.32 and 223,266.54 is: 335,041.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,783.48 : 784,507.32 = 223,266.54 : x
  2. Step 2: Convert to fraction form
    522,783.48/784,507.32 = 223,266.54/x
  3. Step 3: Cross multiply
    522,783.48x = 784,507.32 × 223,266.54
  4. Step 4: Simplify right side
    522,783.48x = 175,154,234,941.07
  5. Step 5: Solve for x
    x = 175,154,234,941.07/522,783.48
  6. Step 6: Final answer
    x = 335,041.64

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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.