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Finding the Fourth Proportional to 505,259.21, 697,164.41 and 287,455.16

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Solution

The fourth proportional to 505,259.21, 697,164.41 and 287,455.16 is: 396,635.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,259.21 : 697,164.41 = 287,455.16 : x
  2. Step 2: Convert to fraction form
    505,259.21/697,164.41 = 287,455.16/x
  3. Step 3: Cross multiply
    505,259.21x = 697,164.41 × 287,455.16
  4. Step 4: Simplify right side
    505,259.21x = 200,403,509,484.41
  5. Step 5: Solve for x
    x = 200,403,509,484.41/505,259.21
  6. Step 6: Final answer
    x = 396,635.04

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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.