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Finding the Fourth Proportional to 460,722.80, 691,038.84 and 161,148.08

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Solution

The fourth proportional to 460,722.80, 691,038.84 and 161,148.08 is: 241,706.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,722.80 : 691,038.84 = 161,148.08 : x
  2. Step 2: Convert to fraction form
    460,722.80/691,038.84 = 161,148.08/x
  3. Step 3: Cross multiply
    460,722.80x = 691,038.84 × 161,148.08
  4. Step 4: Simplify right side
    460,722.80x = 111,359,582,271.43
  5. Step 5: Solve for x
    x = 111,359,582,271.43/460,722.80
  6. Step 6: Final answer
    x = 241,706.25

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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.