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Finding the Fourth Proportional to 405,274.25, 607,818.43 and 152,580.98

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Solution

The fourth proportional to 405,274.25, 607,818.43 and 152,580.98 is: 228,836.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,274.25 : 607,818.43 = 152,580.98 : x
  2. Step 2: Convert to fraction form
    405,274.25/607,818.43 = 152,580.98/x
  3. Step 3: Cross multiply
    405,274.25x = 607,818.43 × 152,580.98
  4. Step 4: Simplify right side
    405,274.25x = 92,741,533,421.73
  5. Step 5: Solve for x
    x = 92,741,533,421.73/405,274.25
  6. Step 6: Final answer
    x = 228,836.48

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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.