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Finding the Fourth Proportional to 601,199.02, 829,660.17 and 410,208.31

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Solution

The fourth proportional to 601,199.02, 829,660.17 and 410,208.31 is: 566,091.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,199.02 : 829,660.17 = 410,208.31 : x
  2. Step 2: Convert to fraction form
    601,199.02/829,660.17 = 410,208.31/x
  3. Step 3: Cross multiply
    601,199.02x = 829,660.17 × 410,208.31
  4. Step 4: Simplify right side
    601,199.02x = 340,333,496,210.01
  5. Step 5: Solve for x
    x = 340,333,496,210.01/601,199.02
  6. Step 6: Final answer
    x = 566,091.24

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1.5x scale

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.