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Finding the Fourth Proportional to 456,430.83, 629,662.46 and 295,337.84

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Solution

The fourth proportional to 456,430.83, 629,662.46 and 295,337.84 is: 407,428.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,430.83 : 629,662.46 = 295,337.84 : x
  2. Step 2: Convert to fraction form
    456,430.83/629,662.46 = 295,337.84/x
  3. Step 3: Cross multiply
    456,430.83x = 629,662.46 × 295,337.84
  4. Step 4: Simplify right side
    456,430.83x = 185,963,146,240.49
  5. Step 5: Solve for x
    x = 185,963,146,240.49/456,430.83
  6. Step 6: Final answer
    x = 407,428.98

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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.