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Finding the Fourth Proportional to 507,175.36, 699,902 and 280,820.88

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Solution

The fourth proportional to 507,175.36, 699,902 and 280,820.88 is: 387,532.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,175.36 : 699,902 = 280,820.88 : x
  2. Step 2: Convert to fraction form
    507,175.36/699,902 = 280,820.88/x
  3. Step 3: Cross multiply
    507,175.36x = 699,902 × 280,820.88
  4. Step 4: Simplify right side
    507,175.36x = 196,547,095,553.76
  5. Step 5: Solve for x
    x = 196,547,095,553.76/507,175.36
  6. Step 6: Final answer
    x = 387,532.82

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