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Finding the Fourth Proportional to 693,675.65, 957,265.15 and 407,140.38

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Solution

The fourth proportional to 693,675.65, 957,265.15 and 407,140.38 is: 561,849.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,675.65 : 957,265.15 = 407,140.38 : x
  2. Step 2: Convert to fraction form
    693,675.65/957,265.15 = 407,140.38/x
  3. Step 3: Cross multiply
    693,675.65x = 957,265.15 × 407,140.38
  4. Step 4: Simplify right side
    693,675.65x = 389,741,296,931.76
  5. Step 5: Solve for x
    x = 389,741,296,931.76/693,675.65
  6. Step 6: Final answer
    x = 561,849.47

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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.