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Finding the Fourth Proportional to 282,580.56, 423,869.76 and 72,218.16

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Solution

The fourth proportional to 282,580.56, 423,869.76 and 72,218.16 is: 108,326.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,580.56 : 423,869.76 = 72,218.16 : x
  2. Step 2: Convert to fraction form
    282,580.56/423,869.76 = 72,218.16/x
  3. Step 3: Cross multiply
    282,580.56x = 423,869.76 × 72,218.16
  4. Step 4: Simplify right side
    282,580.56x = 30,611,094,146.84
  5. Step 5: Solve for x
    x = 30,611,094,146.84/282,580.56
  6. Step 6: Final answer
    x = 108,326.96

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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.