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Finding the Fourth Proportional to 457,903.24, 631,908.32 and 253,973.20

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Solution

The fourth proportional to 457,903.24, 631,908.32 and 253,973.20 is: 350,484.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,903.24 : 631,908.32 = 253,973.20 : x
  2. Step 2: Convert to fraction form
    457,903.24/631,908.32 = 253,973.20/x
  3. Step 3: Cross multiply
    457,903.24x = 631,908.32 × 253,973.20
  4. Step 4: Simplify right side
    457,903.24x = 160,487,778,137.02
  5. Step 5: Solve for x
    x = 160,487,778,137.02/457,903.24
  6. Step 6: Final answer
    x = 350,484.04

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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.