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Finding the Fourth Proportional to 305,483.51, 458,560.47 and 242,707.16

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Solution

The fourth proportional to 305,483.51, 458,560.47 and 242,707.16 is: 364,327.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,483.51 : 458,560.47 = 242,707.16 : x
  2. Step 2: Convert to fraction form
    305,483.51/458,560.47 = 242,707.16/x
  3. Step 3: Cross multiply
    305,483.51x = 458,560.47 × 242,707.16
  4. Step 4: Simplify right side
    305,483.51x = 111,295,907,069.16
  5. Step 5: Solve for x
    x = 111,295,907,069.16/305,483.51
  6. Step 6: Final answer
    x = 364,327.06

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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.