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Finding the Fourth Proportional to 1,431,874.32, 1,975,933.44 and 787,256.16

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Solution

The fourth proportional to 1,431,874.32, 1,975,933.44 and 787,256.16 is: 1,086,384.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431,874.32 : 1,975,933.44 = 787,256.16 : x
  2. Step 2: Convert to fraction form
    1,431,874.32/1,975,933.44 = 787,256.16/x
  3. Step 3: Cross multiply
    1,431,874.32x = 1,975,933.44 × 787,256.16
  4. Step 4: Simplify right side
    1,431,874.32x = 1,555,565,772,389.99
  5. Step 5: Solve for x
    x = 1,555,565,772,389.99/1,431,874.32
  6. Step 6: Final answer
    x = 1,086,384.29

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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.