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Finding the Fourth Proportional to 696,205.95, 960,692.04 and 409,708.95

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Solution

The fourth proportional to 696,205.95, 960,692.04 and 409,708.95 is: 565,355.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,205.95 : 960,692.04 = 409,708.95 : x
  2. Step 2: Convert to fraction form
    696,205.95/960,692.04 = 409,708.95/x
  3. Step 3: Cross multiply
    696,205.95x = 960,692.04 × 409,708.95
  4. Step 4: Simplify right side
    696,205.95x = 393,604,126,981.76
  5. Step 5: Solve for x
    x = 393,604,126,981.76/696,205.95
  6. Step 6: Final answer
    x = 565,355.88

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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.