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Finding the Fourth Proportional to 590,655.16, 816,170.34 and 420,594.04

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Solution

The fourth proportional to 590,655.16, 816,170.34 and 420,594.04 is: 581,179.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,655.16 : 816,170.34 = 420,594.04 : x
  2. Step 2: Convert to fraction form
    590,655.16/816,170.34 = 420,594.04/x
  3. Step 3: Cross multiply
    590,655.16x = 816,170.34 × 420,594.04
  4. Step 4: Simplify right side
    590,655.16x = 343,276,380,628.77
  5. Step 5: Solve for x
    x = 343,276,380,628.77/590,655.16
  6. Step 6: Final answer
    x = 581,179.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.