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Finding the Fourth Proportional to 456,444.75, 629,681.52 and 295,351.81

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Solution

The fourth proportional to 456,444.75, 629,681.52 and 295,351.81 is: 407,448.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,444.75 : 629,681.52 = 295,351.81 : x
  2. Step 2: Convert to fraction form
    456,444.75/629,681.52 = 295,351.81/x
  3. Step 3: Cross multiply
    456,444.75x = 629,681.52 × 295,351.81
  4. Step 4: Simplify right side
    456,444.75x = 185,977,576,655.55
  5. Step 5: Solve for x
    x = 185,977,576,655.55/456,444.75
  6. Step 6: Final answer
    x = 407,448.17

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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.