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Finding the Fourth Proportional to 460,597.96, 690,838.62 and 180,312.04

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Solution

The fourth proportional to 460,597.96, 690,838.62 and 180,312.04 is: 270,445.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,597.96 : 690,838.62 = 180,312.04 : x
  2. Step 2: Convert to fraction form
    460,597.96/690,838.62 = 180,312.04/x
  3. Step 3: Cross multiply
    460,597.96x = 690,838.62 × 180,312.04
  4. Step 4: Simplify right side
    460,597.96x = 124,566,520,882.99
  5. Step 5: Solve for x
    x = 124,566,520,882.99/460,597.96
  6. Step 6: Final answer
    x = 270,445.23

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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.