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Finding the Fourth Proportional to 333,840.24, 500,842.44 and 97,185

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Solution

The fourth proportional to 333,840.24, 500,842.44 and 97,185 is: 145,801.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,840.24 : 500,842.44 = 97,185 : x
  2. Step 2: Convert to fraction form
    333,840.24/500,842.44 = 97,185/x
  3. Step 3: Cross multiply
    333,840.24x = 500,842.44 × 97,185
  4. Step 4: Simplify right side
    333,840.24x = 48,674,372,531.40
  5. Step 5: Solve for x
    x = 48,674,372,531.40/333,840.24
  6. Step 6: Final answer
    x = 145,801.39

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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.