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Finding the Fourth Proportional to 601,828.90, 902,741.52 and 152,548.50

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Solution

The fourth proportional to 601,828.90, 902,741.52 and 152,548.50 is: 228,822.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,828.90 : 902,741.52 = 152,548.50 : x
  2. Step 2: Convert to fraction form
    601,828.90/902,741.52 = 152,548.50/x
  3. Step 3: Cross multiply
    601,828.90x = 902,741.52 × 152,548.50
  4. Step 4: Simplify right side
    601,828.90x = 137,711,864,763.72
  5. Step 5: Solve for x
    x = 137,711,864,763.72/601,828.90
  6. Step 6: Final answer
    x = 228,822.29

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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.