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Finding the Fourth Proportional to 666,878.10, 1,000,415.55 and 193,501.92

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Solution

The fourth proportional to 666,878.10, 1,000,415.55 and 193,501.92 is: 290,281.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,878.10 : 1,000,415.55 = 193,501.92 : x
  2. Step 2: Convert to fraction form
    666,878.10/1,000,415.55 = 193,501.92/x
  3. Step 3: Cross multiply
    666,878.10x = 1,000,415.55 × 193,501.92
  4. Step 4: Simplify right side
    666,878.10x = 193,582,329,722.86
  5. Step 5: Solve for x
    x = 193,582,329,722.86/666,878.10
  6. Step 6: Final answer
    x = 290,281.43

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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.