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Finding the Fourth Proportional to 452,455.89, 678,571.70 and 152,929.82

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Solution

The fourth proportional to 452,455.89, 678,571.70 and 152,929.82 is: 229,356.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,455.89 : 678,571.70 = 152,929.82 : x
  2. Step 2: Convert to fraction form
    452,455.89/678,571.70 = 152,929.82/x
  3. Step 3: Cross multiply
    452,455.89x = 678,571.70 × 152,929.82
  4. Step 4: Simplify right side
    452,455.89x = 103,773,843,780.59
  5. Step 5: Solve for x
    x = 103,773,843,780.59/452,455.89
  6. Step 6: Final answer
    x = 229,356.82

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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.