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Finding the Fourth Proportional to 1,974,287.64, 2,961,431.85 and 712,115.13

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Solution

The fourth proportional to 1,974,287.64, 2,961,431.85 and 712,115.13 is: 1,068,172.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974,287.64 : 2,961,431.85 = 712,115.13 : x
  2. Step 2: Convert to fraction form
    1,974,287.64/2,961,431.85 = 712,115.13/x
  3. Step 3: Cross multiply
    1,974,287.64x = 2,961,431.85 × 712,115.13
  4. Step 4: Simplify right side
    1,974,287.64x = 2,108,880,426,848.89
  5. Step 5: Solve for x
    x = 2,108,880,426,848.89/1,974,287.64
  6. Step 6: Final answer
    x = 1,068,172.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.