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Finding the Fourth Proportional to 362,310.61, 543,534.94 and 146,186.48

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Solution

The fourth proportional to 362,310.61, 543,534.94 and 146,186.48 is: 219,307.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,310.61 : 543,534.94 = 146,186.48 : x
  2. Step 2: Convert to fraction form
    362,310.61/543,534.94 = 146,186.48/x
  3. Step 3: Cross multiply
    362,310.61x = 543,534.94 × 146,186.48
  4. Step 4: Simplify right side
    362,310.61x = 79,457,459,635.61
  5. Step 5: Solve for x
    x = 79,457,459,635.61/362,310.61
  6. Step 6: Final answer
    x = 219,307.57

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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.