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Finding the Fourth Proportional to 457,429.25, 631,256.06 and 253,483.56

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Solution

The fourth proportional to 457,429.25, 631,256.06 and 253,483.56 is: 349,809.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,429.25 : 631,256.06 = 253,483.56 : x
  2. Step 2: Convert to fraction form
    457,429.25/631,256.06 = 253,483.56/x
  3. Step 3: Cross multiply
    457,429.25x = 631,256.06 × 253,483.56
  4. Step 4: Simplify right side
    457,429.25x = 160,013,033,994.08
  5. Step 5: Solve for x
    x = 160,013,033,994.08/457,429.25
  6. Step 6: Final answer
    x = 349,809.36

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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.