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Finding the Fourth Proportional to 289,714.46, 399,657.38 and 174,929.76

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Solution

The fourth proportional to 289,714.46, 399,657.38 and 174,929.76 is: 241,313.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,714.46 : 399,657.38 = 174,929.76 : x
  2. Step 2: Convert to fraction form
    289,714.46/399,657.38 = 174,929.76/x
  3. Step 3: Cross multiply
    289,714.46x = 399,657.38 × 174,929.76
  4. Step 4: Simplify right side
    289,714.46x = 69,911,968,690.98
  5. Step 5: Solve for x
    x = 69,911,968,690.98/289,714.46
  6. Step 6: Final answer
    x = 241,313.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.