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Finding the Fourth Proportional to 510,602.36, 704,615.83 and 281,160.14

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Solution

The fourth proportional to 510,602.36, 704,615.83 and 281,160.14 is: 387,992.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,602.36 : 704,615.83 = 281,160.14 : x
  2. Step 2: Convert to fraction form
    510,602.36/704,615.83 = 281,160.14/x
  3. Step 3: Cross multiply
    510,602.36x = 704,615.83 × 281,160.14
  4. Step 4: Simplify right side
    510,602.36x = 198,109,881,183.04
  5. Step 5: Solve for x
    x = 198,109,881,183.04/510,602.36
  6. Step 6: Final answer
    x = 387,992.49

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1.5x scale

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.