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Finding the Fourth Proportional to 654,116.76, 902,657.52 and 367,652.52

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Solution

The fourth proportional to 654,116.76, 902,657.52 and 367,652.52 is: 507,347.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,116.76 : 902,657.52 = 367,652.52 : x
  2. Step 2: Convert to fraction form
    654,116.76/902,657.52 = 367,652.52/x
  3. Step 3: Cross multiply
    654,116.76x = 902,657.52 × 367,652.52
  4. Step 4: Simplify right side
    654,116.76x = 331,864,311,924.95
  5. Step 5: Solve for x
    x = 331,864,311,924.95/654,116.76
  6. Step 6: Final answer
    x = 507,347.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.