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Finding the Fourth Proportional to 302,730.72, 456,284.40 and 285,584.64

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Solution

The fourth proportional to 302,730.72, 456,284.40 and 285,584.64 is: 430,441.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,730.72 : 456,284.40 = 285,584.64 : x
  2. Step 2: Convert to fraction form
    302,730.72/456,284.40 = 285,584.64/x
  3. Step 3: Cross multiply
    302,730.72x = 456,284.40 × 285,584.64
  4. Step 4: Simplify right side
    302,730.72x = 130,307,816,111.62
  5. Step 5: Solve for x
    x = 130,307,816,111.62/302,730.72
  6. Step 6: Final answer
    x = 430,441.34

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.