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Finding the Fourth Proportional to 452,409.80, 678,336.06 and 152,862.08

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Solution

The fourth proportional to 452,409.80, 678,336.06 and 152,862.08 is: 229,198.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,409.80 : 678,336.06 = 152,862.08 : x
  2. Step 2: Convert to fraction form
    452,409.80/678,336.06 = 152,862.08/x
  3. Step 3: Cross multiply
    452,409.80x = 678,336.06 × 152,862.08
  4. Step 4: Simplify right side
    452,409.80x = 103,691,861,070.61
  5. Step 5: Solve for x
    x = 103,691,861,070.61/452,409.80
  6. Step 6: Final answer
    x = 229,198.97

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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.