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Finding the Fourth Proportional to 369,400.32, 509,708.16 and 218,442.24

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Solution

The fourth proportional to 369,400.32, 509,708.16 and 218,442.24 is: 301,412.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,400.32 : 509,708.16 = 218,442.24 : x
  2. Step 2: Convert to fraction form
    369,400.32/509,708.16 = 218,442.24/x
  3. Step 3: Cross multiply
    369,400.32x = 509,708.16 × 218,442.24
  4. Step 4: Simplify right side
    369,400.32x = 111,341,792,216.68
  5. Step 5: Solve for x
    x = 111,341,792,216.68/369,400.32
  6. Step 6: Final answer
    x = 301,412.28

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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.