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Finding the Fourth Proportional to 934,066, 1,289,012.54 and 531,658

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Solution

The fourth proportional to 934,066, 1,289,012.54 and 531,658 is: 733,688.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    934,066 : 1,289,012.54 = 531,658 : x
  2. Step 2: Convert to fraction form
    934,066/1,289,012.54 = 531,658/x
  3. Step 3: Cross multiply
    934,066x = 1,289,012.54 × 531,658
  4. Step 4: Simplify right side
    934,066x = 685,313,828,991.32
  5. Step 5: Solve for x
    x = 685,313,828,991.32/934,066
  6. Step 6: Final answer
    x = 733,688.87

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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.