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Finding the Fourth Proportional to 288,014.90, 432,022.35 and 169,916.90

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Solution

The fourth proportional to 288,014.90, 432,022.35 and 169,916.90 is: 254,875.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,014.90 : 432,022.35 = 169,916.90 : x
  2. Step 2: Convert to fraction form
    288,014.90/432,022.35 = 169,916.90/x
  3. Step 3: Cross multiply
    288,014.90x = 432,022.35 × 169,916.90
  4. Step 4: Simplify right side
    288,014.90x = 73,407,898,442.72
  5. Step 5: Solve for x
    x = 73,407,898,442.72/288,014.90
  6. Step 6: Final answer
    x = 254,875.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.