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Finding the Fourth Proportional to 563,953.60, 845,968.80 and 164,593.60

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Solution

The fourth proportional to 563,953.60, 845,968.80 and 164,593.60 is: 246,901.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,953.60 : 845,968.80 = 164,593.60 : x
  2. Step 2: Convert to fraction form
    563,953.60/845,968.80 = 164,593.60/x
  3. Step 3: Cross multiply
    563,953.60x = 845,968.80 × 164,593.60
  4. Step 4: Simplify right side
    563,953.60x = 139,241,050,279.68
  5. Step 5: Solve for x
    x = 139,241,050,279.68/563,953.60
  6. Step 6: Final answer
    x = 246,901.61

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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.