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Finding the Fourth Proportional to 405,236.82, 607,762.74 and 152,543.86

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Solution

The fourth proportional to 405,236.82, 607,762.74 and 152,543.86 is: 228,780.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,236.82 : 607,762.74 = 152,543.86 : x
  2. Step 2: Convert to fraction form
    405,236.82/607,762.74 = 152,543.86/x
  3. Step 3: Cross multiply
    405,236.82x = 607,762.74 × 152,543.86
  4. Step 4: Simplify right side
    405,236.82x = 92,710,473,376.41
  5. Step 5: Solve for x
    x = 92,710,473,376.41/405,236.82
  6. Step 6: Final answer
    x = 228,780.97

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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.