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Finding the Fourth Proportional to 284,516.96, 426,649.68 and 151,365.61

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Solution

The fourth proportional to 284,516.96, 426,649.68 and 151,365.61 is: 226,981.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,516.96 : 426,649.68 = 151,365.61 : x
  2. Step 2: Convert to fraction form
    284,516.96/426,649.68 = 151,365.61/x
  3. Step 3: Cross multiply
    284,516.96x = 426,649.68 × 151,365.61
  4. Step 4: Simplify right side
    284,516.96x = 64,580,089,602.82
  5. Step 5: Solve for x
    x = 64,580,089,602.82/284,516.96
  6. Step 6: Final answer
    x = 226,981.52

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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.