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Finding the Fourth Proportional to 469,643.01, 703,904.03 and 256,464.60

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Solution

The fourth proportional to 469,643.01, 703,904.03 and 256,464.60 is: 384,390.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,643.01 : 703,904.03 = 256,464.60 : x
  2. Step 2: Convert to fraction form
    469,643.01/703,904.03 = 256,464.60/x
  3. Step 3: Cross multiply
    469,643.01x = 703,904.03 × 256,464.60
  4. Step 4: Simplify right side
    469,643.01x = 180,526,464,210.02
  5. Step 5: Solve for x
    x = 180,526,464,210.02/469,643.01
  6. Step 6: Final answer
    x = 384,390.83

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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.