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Finding the Fourth Proportional to 306,435.65, 460,084.19 and 156,783.29

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Solution

The fourth proportional to 306,435.65, 460,084.19 and 156,783.29 is: 235,395.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,435.65 : 460,084.19 = 156,783.29 : x
  2. Step 2: Convert to fraction form
    306,435.65/460,084.19 = 156,783.29/x
  3. Step 3: Cross multiply
    306,435.65x = 460,084.19 × 156,783.29
  4. Step 4: Simplify right side
    306,435.65x = 72,133,509,900.85
  5. Step 5: Solve for x
    x = 72,133,509,900.85/306,435.65
  6. Step 6: Final answer
    x = 235,395.30

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Why These Related Problems?

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