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Finding the Fourth Proportional to 702,396.50, 969,307.14 and 380,106.56

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Solution

The fourth proportional to 702,396.50, 969,307.14 and 380,106.56 is: 524,547.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,396.50 : 969,307.14 = 380,106.56 : x
  2. Step 2: Convert to fraction form
    702,396.50/969,307.14 = 380,106.56/x
  3. Step 3: Cross multiply
    702,396.50x = 969,307.14 × 380,106.56
  4. Step 4: Simplify right side
    702,396.50x = 368,440,002,568.84
  5. Step 5: Solve for x
    x = 368,440,002,568.84/702,396.50
  6. Step 6: Final answer
    x = 524,547.04

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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.