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Finding the Fourth Proportional to 457,804.48, 631,777.75 and 253,864.00

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Solution

The fourth proportional to 457,804.48, 631,777.75 and 253,864.00 is: 350,336.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,804.48 : 631,777.75 = 253,864.00 : x
  2. Step 2: Convert to fraction form
    457,804.48/631,777.75 = 253,864.00/x
  3. Step 3: Cross multiply
    457,804.48x = 631,777.75 × 253,864.00
  4. Step 4: Simplify right side
    457,804.48x = 160,385,625,818.18
  5. Step 5: Solve for x
    x = 160,385,625,818.18/457,804.48
  6. Step 6: Final answer
    x = 350,336.51

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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.