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Finding the Fourth Proportional to 505,643.40, 758,465.10 and 467,152.20

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Solution

The fourth proportional to 505,643.40, 758,465.10 and 467,152.20 is: 700,728.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,643.40 : 758,465.10 = 467,152.20 : x
  2. Step 2: Convert to fraction form
    505,643.40/758,465.10 = 467,152.20/x
  3. Step 3: Cross multiply
    505,643.40x = 758,465.10 × 467,152.20
  4. Step 4: Simplify right side
    505,643.40x = 354,318,640,088.22
  5. Step 5: Solve for x
    x = 354,318,640,088.22/505,643.40
  6. Step 6: Final answer
    x = 700,728.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.