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Finding the Fourth Proportional to 523,998.56, 786,045.36 and 144,943.04

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Solution

The fourth proportional to 523,998.56, 786,045.36 and 144,943.04 is: 217,427.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,998.56 : 786,045.36 = 144,943.04 : x
  2. Step 2: Convert to fraction form
    523,998.56/786,045.36 = 144,943.04/x
  3. Step 3: Cross multiply
    523,998.56x = 786,045.36 × 144,943.04
  4. Step 4: Simplify right side
    523,998.56x = 113,931,804,056.29
  5. Step 5: Solve for x
    x = 113,931,804,056.29/523,998.56
  6. Step 6: Final answer
    x = 217,427.70

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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.