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Finding the Fourth Proportional to 469,830.32, 648,366.25 and 254,970.36

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Solution

The fourth proportional to 469,830.32, 648,366.25 and 254,970.36 is: 351,859.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,830.32 : 648,366.25 = 254,970.36 : x
  2. Step 2: Convert to fraction form
    469,830.32/648,366.25 = 254,970.36/x
  3. Step 3: Cross multiply
    469,830.32x = 648,366.25 × 254,970.36
  4. Step 4: Simplify right side
    469,830.32x = 165,314,175,536.92
  5. Step 5: Solve for x
    x = 165,314,175,536.92/469,830.32
  6. Step 6: Final answer
    x = 351,859.32

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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.