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Finding the Fourth Proportional to 305,841.93, 459,054.79 and 187,743.93

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Solution

The fourth proportional to 305,841.93, 459,054.79 and 187,743.93 is: 281,795.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,841.93 : 459,054.79 = 187,743.93 : x
  2. Step 2: Convert to fraction form
    305,841.93/459,054.79 = 187,743.93/x
  3. Step 3: Cross multiply
    305,841.93x = 459,054.79 × 187,743.93
  4. Step 4: Simplify right side
    305,841.93x = 86,184,749,225.17
  5. Step 5: Solve for x
    x = 86,184,749,225.17/305,841.93
  6. Step 6: Final answer
    x = 281,795.08

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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.