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Finding the Fourth Proportional to 334,406.88, 461,494.80 and 183,509.28

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Solution

The fourth proportional to 334,406.88, 461,494.80 and 183,509.28 is: 253,250.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,406.88 : 461,494.80 = 183,509.28 : x
  2. Step 2: Convert to fraction form
    334,406.88/461,494.80 = 183,509.28/x
  3. Step 3: Cross multiply
    334,406.88x = 461,494.80 × 183,509.28
  4. Step 4: Simplify right side
    334,406.88x = 84,688,578,471.74
  5. Step 5: Solve for x
    x = 84,688,578,471.74/334,406.88
  6. Step 6: Final answer
    x = 253,250.11

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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.