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Finding the Fourth Proportional to 456,392.54, 629,612.16 and 295,300.10

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Solution

The fourth proportional to 456,392.54, 629,612.16 and 295,300.10 is: 407,378.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,392.54 : 629,612.16 = 295,300.10 : x
  2. Step 2: Convert to fraction form
    456,392.54/629,612.16 = 295,300.10/x
  3. Step 3: Cross multiply
    456,392.54x = 629,612.16 × 295,300.10
  4. Step 4: Simplify right side
    456,392.54x = 185,924,533,809.22
  5. Step 5: Solve for x
    x = 185,924,533,809.22/456,392.54
  6. Step 6: Final answer
    x = 407,378.56

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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.