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Finding the Fourth Proportional to 468,492.96, 702,737 and 113,507.04

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Solution

The fourth proportional to 468,492.96, 702,737 and 113,507.04 is: 170,259.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,492.96 : 702,737 = 113,507.04 : x
  2. Step 2: Convert to fraction form
    468,492.96/702,737 = 113,507.04/x
  3. Step 3: Cross multiply
    468,492.96x = 702,737 × 113,507.04
  4. Step 4: Simplify right side
    468,492.96x = 79,765,596,768.48
  5. Step 5: Solve for x
    x = 79,765,596,768.48/468,492.96
  6. Step 6: Final answer
    x = 170,259.97

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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.