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Finding the Fourth Proportional to 349,809.60, 524,714.40 and 279,825.60

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Solution

The fourth proportional to 349,809.60, 524,714.40 and 279,825.60 is: 419,738.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,809.60 : 524,714.40 = 279,825.60 : x
  2. Step 2: Convert to fraction form
    349,809.60/524,714.40 = 279,825.60/x
  3. Step 3: Cross multiply
    349,809.60x = 524,714.40 × 279,825.60
  4. Step 4: Simplify right side
    349,809.60x = 146,828,521,808.64
  5. Step 5: Solve for x
    x = 146,828,521,808.64/349,809.60
  6. Step 6: Final answer
    x = 419,738.40

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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.