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Finding the Fourth Proportional to 369,203.66, 509,671.14 and 216,220.58

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Solution

The fourth proportional to 369,203.66, 509,671.14 and 216,220.58 is: 298,484.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,203.66 : 509,671.14 = 216,220.58 : x
  2. Step 2: Convert to fraction form
    369,203.66/509,671.14 = 216,220.58/x
  3. Step 3: Cross multiply
    369,203.66x = 509,671.14 × 216,220.58
  4. Step 4: Simplify right side
    369,203.66x = 110,201,389,500.06
  5. Step 5: Solve for x
    x = 110,201,389,500.06/369,203.66
  6. Step 6: Final answer
    x = 298,484.01

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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.