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Finding the Fourth Proportional to 601,897.18, 902,583.29 and 227,657.74

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Solution

The fourth proportional to 601,897.18, 902,583.29 and 227,657.74 is: 341,387.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,897.18 : 902,583.29 = 227,657.74 : x
  2. Step 2: Convert to fraction form
    601,897.18/902,583.29 = 227,657.74/x
  3. Step 3: Cross multiply
    601,897.18x = 902,583.29 × 227,657.74
  4. Step 4: Simplify right side
    601,897.18x = 205,480,066,311.96
  5. Step 5: Solve for x
    x = 205,480,066,311.96/601,897.18
  6. Step 6: Final answer
    x = 341,387.32

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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.