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Finding the Fourth Proportional to 301,738.60, 452,607.90 and 161,770.60

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Solution

The fourth proportional to 301,738.60, 452,607.90 and 161,770.60 is: 242,655.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,738.60 : 452,607.90 = 161,770.60 : x
  2. Step 2: Convert to fraction form
    301,738.60/452,607.90 = 161,770.60/x
  3. Step 3: Cross multiply
    301,738.60x = 452,607.90 × 161,770.60
  4. Step 4: Simplify right side
    301,738.60x = 73,218,651,547.74
  5. Step 5: Solve for x
    x = 73,218,651,547.74/301,738.60
  6. Step 6: Final answer
    x = 242,655.90

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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.