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Finding the Fourth Proportional to 469,295.30, 647,587.64 and 265,317.93

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Solution

The fourth proportional to 469,295.30, 647,587.64 and 265,317.93 is: 366,116.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,295.30 : 647,587.64 = 265,317.93 : x
  2. Step 2: Convert to fraction form
    469,295.30/647,587.64 = 265,317.93/x
  3. Step 3: Cross multiply
    469,295.30x = 647,587.64 × 265,317.93
  4. Step 4: Simplify right side
    469,295.30x = 171,816,612,801.68
  5. Step 5: Solve for x
    x = 171,816,612,801.68/469,295.30
  6. Step 6: Final answer
    x = 366,116.20

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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.