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Finding the Fourth Proportional to 315,460.96, 435,374.32 and 179,527.98

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Solution

The fourth proportional to 315,460.96, 435,374.32 and 179,527.98 is: 247,770.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,460.96 : 435,374.32 = 179,527.98 : x
  2. Step 2: Convert to fraction form
    315,460.96/435,374.32 = 179,527.98/x
  3. Step 3: Cross multiply
    315,460.96x = 435,374.32 × 179,527.98
  4. Step 4: Simplify right side
    315,460.96x = 78,161,872,213.47
  5. Step 5: Solve for x
    x = 78,161,872,213.47/315,460.96
  6. Step 6: Final answer
    x = 247,770.35

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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.