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Finding the Fourth Proportional to 334,266.40, 501,345.84 and 97,553.60

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Solution

The fourth proportional to 334,266.40, 501,345.84 and 97,553.60 is: 146,314.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,266.40 : 501,345.84 = 97,553.60 : x
  2. Step 2: Convert to fraction form
    334,266.40/501,345.84 = 97,553.60/x
  3. Step 3: Cross multiply
    334,266.40x = 501,345.84 × 97,553.60
  4. Step 4: Simplify right side
    334,266.40x = 48,908,091,537.02
  5. Step 5: Solve for x
    x = 48,908,091,537.02/334,266.40
  6. Step 6: Final answer
    x = 146,314.71

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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.