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Finding the Fourth Proportional to 306,901.09, 460,423.95 and 96,539.05

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Solution

The fourth proportional to 306,901.09, 460,423.95 and 96,539.05 is: 144,831.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,901.09 : 460,423.95 = 96,539.05 : x
  2. Step 2: Convert to fraction form
    306,901.09/460,423.95 = 96,539.05/x
  3. Step 3: Cross multiply
    306,901.09x = 460,423.95 × 96,539.05
  4. Step 4: Simplify right side
    306,901.09x = 44,448,890,730.25
  5. Step 5: Solve for x
    x = 44,448,890,730.25/306,901.09
  6. Step 6: Final answer
    x = 144,831.32

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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.