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Finding the Fourth Proportional to 469,574.64, 647,973.54 and 265,615.02

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Solution

The fourth proportional to 469,574.64, 647,973.54 and 265,615.02 is: 366,526.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,574.64 : 647,973.54 = 265,615.02 : x
  2. Step 2: Convert to fraction form
    469,574.64/647,973.54 = 265,615.02/x
  3. Step 3: Cross multiply
    469,574.64x = 647,973.54 × 265,615.02
  4. Step 4: Simplify right side
    469,574.64x = 172,111,504,786.57
  5. Step 5: Solve for x
    x = 172,111,504,786.57/469,574.64
  6. Step 6: Final answer
    x = 366,526.41

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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.