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Finding the Fourth Proportional to 452,532.48, 678,519.72 and 152,984.76

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Solution

The fourth proportional to 452,532.48, 678,519.72 and 152,984.76 is: 229,382.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,532.48 : 678,519.72 = 152,984.76 : x
  2. Step 2: Convert to fraction form
    452,532.48/678,519.72 = 152,984.76/x
  3. Step 3: Cross multiply
    452,532.48x = 678,519.72 × 152,984.76
  4. Step 4: Simplify right side
    452,532.48x = 103,803,176,519.47
  5. Step 5: Solve for x
    x = 103,803,176,519.47/452,532.48
  6. Step 6: Final answer
    x = 229,382.82

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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.