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Finding the Fourth Proportional to 463,870.08, 696,100.77 and 460,073.34

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Solution

The fourth proportional to 463,870.08, 696,100.77 and 460,073.34 is: 690,403.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,870.08 : 696,100.77 = 460,073.34 : x
  2. Step 2: Convert to fraction form
    463,870.08/696,100.77 = 460,073.34/x
  3. Step 3: Cross multiply
    463,870.08x = 696,100.77 × 460,073.34
  4. Step 4: Simplify right side
    463,870.08x = 320,257,406,230.47
  5. Step 5: Solve for x
    x = 320,257,406,230.47/463,870.08
  6. Step 6: Final answer
    x = 690,403.24

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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.