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Finding the Fourth Proportional to 407,852.10, 611,994 and 296,451.72

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Solution

The fourth proportional to 407,852.10, 611,994 and 296,451.72 is: 444,834.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,852.10 : 611,994 = 296,451.72 : x
  2. Step 2: Convert to fraction form
    407,852.10/611,994 = 296,451.72/x
  3. Step 3: Cross multiply
    407,852.10x = 611,994 × 296,451.72
  4. Step 4: Simplify right side
    407,852.10x = 181,426,673,929.68
  5. Step 5: Solve for x
    x = 181,426,673,929.68/407,852.10
  6. Step 6: Final answer
    x = 444,834.47

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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.