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Finding the Fourth Proportional to 228,432.99, 314,533.42 and 202,894.98

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Solution

The fourth proportional to 228,432.99, 314,533.42 and 202,894.98 is: 279,369.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,432.99 : 314,533.42 = 202,894.98 : x
  2. Step 2: Convert to fraction form
    228,432.99/314,533.42 = 202,894.98/x
  3. Step 3: Cross multiply
    228,432.99x = 314,533.42 × 202,894.98
  4. Step 4: Simplify right side
    228,432.99x = 63,817,250,945.76
  5. Step 5: Solve for x
    x = 63,817,250,945.76/228,432.99
  6. Step 6: Final answer
    x = 279,369.68

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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.