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Finding the Fourth Proportional to 460,120.95, 690,580.17 and 459,057.06

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Solution

The fourth proportional to 460,120.95, 690,580.17 and 459,057.06 is: 688,983.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,120.95 : 690,580.17 = 459,057.06 : x
  2. Step 2: Convert to fraction form
    460,120.95/690,580.17 = 459,057.06/x
  3. Step 3: Cross multiply
    460,120.95x = 690,580.17 × 459,057.06
  4. Step 4: Simplify right side
    460,120.95x = 317,015,702,534.50
  5. Step 5: Solve for x
    x = 317,015,702,534.50/460,120.95
  6. Step 6: Final answer
    x = 688,983.41

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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.