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Finding the Fourth Proportional to 696,082.80, 972,416.40 and 696,082.80

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Solution

The fourth proportional to 696,082.80, 972,416.40 and 696,082.80 is: 972,416.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,082.80 : 972,416.40 = 696,082.80 : x
  2. Step 2: Convert to fraction form
    696,082.80/972,416.40 = 696,082.80/x
  3. Step 3: Cross multiply
    696,082.80x = 972,416.40 × 696,082.80
  4. Step 4: Simplify right side
    696,082.80x = 676,882,330,477.92
  5. Step 5: Solve for x
    x = 676,882,330,477.92/696,082.80
  6. Step 6: Final answer
    x = 972,416.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.