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Finding the Fourth Proportional to 452,294.17, 678,519.47 and 152,776.92

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Solution

The fourth proportional to 452,294.17, 678,519.47 and 152,776.92 is: 229,191.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,294.17 : 678,519.47 = 152,776.92 : x
  2. Step 2: Convert to fraction form
    452,294.17/678,519.47 = 152,776.92/x
  3. Step 3: Cross multiply
    452,294.17x = 678,519.47 × 152,776.92
  4. Step 4: Simplify right side
    452,294.17x = 103,662,114,786.63
  5. Step 5: Solve for x
    x = 103,662,114,786.63/452,294.17
  6. Step 6: Final answer
    x = 229,191.80

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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.