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Finding the Fourth Proportional to 475,683.84, 713,634.96 and 160,132.32

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Solution

The fourth proportional to 475,683.84, 713,634.96 and 160,132.32 is: 240,235.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,683.84 : 713,634.96 = 160,132.32 : x
  2. Step 2: Convert to fraction form
    475,683.84/713,634.96 = 160,132.32/x
  3. Step 3: Cross multiply
    475,683.84x = 713,634.96 × 160,132.32
  4. Step 4: Simplify right side
    475,683.84x = 114,276,021,777.91
  5. Step 5: Solve for x
    x = 114,276,021,777.91/475,683.84
  6. Step 6: Final answer
    x = 240,235.24

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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.