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Finding the Fourth Proportional to 452,583.84, 678,963.24 and 153,113.07

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Solution

The fourth proportional to 452,583.84, 678,963.24 and 153,113.07 is: 229,699.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,583.84 : 678,963.24 = 153,113.07 : x
  2. Step 2: Convert to fraction form
    452,583.84/678,963.24 = 153,113.07/x
  3. Step 3: Cross multiply
    452,583.84x = 678,963.24 × 153,113.07
  4. Step 4: Simplify right side
    452,583.84x = 103,958,146,093.55
  5. Step 5: Solve for x
    x = 103,958,146,093.55/452,583.84
  6. Step 6: Final answer
    x = 229,699.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.