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Finding the Fourth Proportional to 559,239.34, 838,741.16 and 180,194.58

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Solution

The fourth proportional to 559,239.34, 838,741.16 and 180,194.58 is: 270,253.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,239.34 : 838,741.16 = 180,194.58 : x
  2. Step 2: Convert to fraction form
    559,239.34/838,741.16 = 180,194.58/x
  3. Step 3: Cross multiply
    559,239.34x = 838,741.16 × 180,194.58
  4. Step 4: Simplify right side
    559,239.34x = 151,136,611,054.91
  5. Step 5: Solve for x
    x = 151,136,611,054.91/559,239.34
  6. Step 6: Final answer
    x = 270,253.90

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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.