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Finding the Fourth Proportional to 493,172.74, 680,539.62 and 302,160.16

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Solution

The fourth proportional to 493,172.74, 680,539.62 and 302,160.16 is: 416,957.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,172.74 : 680,539.62 = 302,160.16 : x
  2. Step 2: Convert to fraction form
    493,172.74/680,539.62 = 302,160.16/x
  3. Step 3: Cross multiply
    493,172.74x = 680,539.62 × 302,160.16
  4. Step 4: Simplify right side
    493,172.74x = 205,631,960,465.54
  5. Step 5: Solve for x
    x = 205,631,960,465.54/493,172.74
  6. Step 6: Final answer
    x = 416,957.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.