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Finding the Fourth Proportional to 433,224.55, 649,838.64 and 284,406.49

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Solution

The fourth proportional to 433,224.55, 649,838.64 and 284,406.49 is: 426,610.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,224.55 : 649,838.64 = 284,406.49 : x
  2. Step 2: Convert to fraction form
    433,224.55/649,838.64 = 284,406.49/x
  3. Step 3: Cross multiply
    433,224.55x = 649,838.64 × 284,406.49
  4. Step 4: Simplify right side
    433,224.55x = 184,818,326,668.77
  5. Step 5: Solve for x
    x = 184,818,326,668.77/433,224.55
  6. Step 6: Final answer
    x = 426,610.93

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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.