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Finding the Fourth Proportional to 530,052.54, 731,492.02 and 303,741.78

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Solution

The fourth proportional to 530,052.54, 731,492.02 and 303,741.78 is: 419,174.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,052.54 : 731,492.02 = 303,741.78 : x
  2. Step 2: Convert to fraction form
    530,052.54/731,492.02 = 303,741.78/x
  3. Step 3: Cross multiply
    530,052.54x = 731,492.02 × 303,741.78
  4. Step 4: Simplify right side
    530,052.54x = 222,184,688,210.60
  5. Step 5: Solve for x
    x = 222,184,688,210.60/530,052.54
  6. Step 6: Final answer
    x = 419,174.84

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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.