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Finding the Fourth Proportional to 699,102.88, 968,415.19 and 684,931.12

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Solution

The fourth proportional to 699,102.88, 968,415.19 and 684,931.12 is: 948,784.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,102.88 : 968,415.19 = 684,931.12 : x
  2. Step 2: Convert to fraction form
    699,102.88/968,415.19 = 684,931.12/x
  3. Step 3: Cross multiply
    699,102.88x = 968,415.19 × 684,931.12
  4. Step 4: Simplify right side
    699,102.88x = 663,297,700,711.71
  5. Step 5: Solve for x
    x = 663,297,700,711.71/699,102.88
  6. Step 6: Final answer
    x = 948,784.11

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.