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Finding the Fourth Proportional to 601,897.42, 902,583.66 and 227,657.98

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Solution

The fourth proportional to 601,897.42, 902,583.66 and 227,657.98 is: 341,387.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,897.42 : 902,583.66 = 227,657.98 : x
  2. Step 2: Convert to fraction form
    601,897.42/902,583.66 = 227,657.98/x
  3. Step 3: Cross multiply
    601,897.42x = 902,583.66 × 227,657.98
  4. Step 4: Simplify right side
    601,897.42x = 205,480,374,798.55
  5. Step 5: Solve for x
    x = 205,480,374,798.55/601,897.42
  6. Step 6: Final answer
    x = 341,387.70

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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.