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Finding the Fourth Proportional to 405,460.13, 607,599.68 and 194,852.03

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Solution

The fourth proportional to 405,460.13, 607,599.68 and 194,852.03 is: 291,994.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,460.13 : 607,599.68 = 194,852.03 : x
  2. Step 2: Convert to fraction form
    405,460.13/607,599.68 = 194,852.03/x
  3. Step 3: Cross multiply
    405,460.13x = 607,599.68 × 194,852.03
  4. Step 4: Simplify right side
    405,460.13x = 118,392,027,063.09
  5. Step 5: Solve for x
    x = 118,392,027,063.09/405,460.13
  6. Step 6: Final answer
    x = 291,994.25

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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.