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Finding the Fourth Proportional to 569,165.48, 785,448.64 and 314,516.66

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Solution

The fourth proportional to 569,165.48, 785,448.64 and 314,516.66 is: 434,033.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,165.48 : 785,448.64 = 314,516.66 : x
  2. Step 2: Convert to fraction form
    569,165.48/785,448.64 = 314,516.66/x
  3. Step 3: Cross multiply
    569,165.48x = 785,448.64 × 314,516.66
  4. Step 4: Simplify right side
    569,165.48x = 247,036,682,854.34
  5. Step 5: Solve for x
    x = 247,036,682,854.34/569,165.48
  6. Step 6: Final answer
    x = 434,033.14

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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.