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Finding the Fourth Proportional to 505,202.52, 697,162.08 and 301,148.22

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Solution

The fourth proportional to 505,202.52, 697,162.08 and 301,148.22 is: 415,574.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,202.52 : 697,162.08 = 301,148.22 : x
  2. Step 2: Convert to fraction form
    505,202.52/697,162.08 = 301,148.22/x
  3. Step 3: Cross multiply
    505,202.52x = 697,162.08 × 301,148.22
  4. Step 4: Simplify right side
    505,202.52x = 209,949,119,443.50
  5. Step 5: Solve for x
    x = 209,949,119,443.50/505,202.52
  6. Step 6: Final answer
    x = 415,574.17

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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.