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Finding the Fourth Proportional to 301,292.15, 415,752.89 and 180,430.32

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Solution

The fourth proportional to 301,292.15, 415,752.89 and 180,430.32 is: 248,975.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,292.15 : 415,752.89 = 180,430.32 : x
  2. Step 2: Convert to fraction form
    301,292.15/415,752.89 = 180,430.32/x
  3. Step 3: Cross multiply
    301,292.15x = 415,752.89 × 180,430.32
  4. Step 4: Simplify right side
    301,292.15x = 75,014,426,081.47
  5. Step 5: Solve for x
    x = 75,014,426,081.47/301,292.15
  6. Step 6: Final answer
    x = 248,975.71

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