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Finding the Fourth Proportional to 686,810.98, 947,847.42 and 380,916.51

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Solution

The fourth proportional to 686,810.98, 947,847.42 and 380,916.51 is: 525,691.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,810.98 : 947,847.42 = 380,916.51 : x
  2. Step 2: Convert to fraction form
    686,810.98/947,847.42 = 380,916.51/x
  3. Step 3: Cross multiply
    686,810.98x = 947,847.42 × 380,916.51
  4. Step 4: Simplify right side
    686,810.98x = 361,050,727,684.48
  5. Step 5: Solve for x
    x = 361,050,727,684.48/686,810.98
  6. Step 6: Final answer
    x = 525,691.55

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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.