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Finding the Fourth Proportional to 473,906.80, 709,477.80 and 460,082.80

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Solution

The fourth proportional to 473,906.80, 709,477.80 and 460,082.80 is: 688,782.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,906.80 : 709,477.80 = 460,082.80 : x
  2. Step 2: Convert to fraction form
    473,906.80/709,477.80 = 460,082.80/x
  3. Step 3: Cross multiply
    473,906.80x = 709,477.80 × 460,082.80
  4. Step 4: Simplify right side
    473,906.80x = 326,418,532,761.84
  5. Step 5: Solve for x
    x = 326,418,532,761.84/473,906.80
  6. Step 6: Final answer
    x = 688,782.13

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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.