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Finding the Fourth Proportional to 434,978.86, 600,147.48 and 253,698.70

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Solution

The fourth proportional to 434,978.86, 600,147.48 and 253,698.70 is: 350,032.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,978.86 : 600,147.48 = 253,698.70 : x
  2. Step 2: Convert to fraction form
    434,978.86/600,147.48 = 253,698.70/x
  3. Step 3: Cross multiply
    434,978.86x = 600,147.48 × 253,698.70
  4. Step 4: Simplify right side
    434,978.86x = 152,256,635,484.28
  5. Step 5: Solve for x
    x = 152,256,635,484.28/434,978.86
  6. Step 6: Final answer
    x = 350,032.26

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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.