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Finding the Fourth Proportional to 1,431,862.32, 1,975,916.88 and 787,244.16

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Solution

The fourth proportional to 1,431,862.32, 1,975,916.88 and 787,244.16 is: 1,086,367.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431,862.32 : 1,975,916.88 = 787,244.16 : x
  2. Step 2: Convert to fraction form
    1,431,862.32/1,975,916.88 = 787,244.16/x
  3. Step 3: Cross multiply
    1,431,862.32x = 1,975,916.88 × 787,244.16
  4. Step 4: Simplify right side
    1,431,862.32x = 1,555,529,024,425.42
  5. Step 5: Solve for x
    x = 1,555,529,024,425.42/1,431,862.32
  6. Step 6: Final answer
    x = 1,086,367.73

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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.