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Finding the Fourth Proportional to 407,762.10, 611,643.15 and 302,786.10

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Solution

The fourth proportional to 407,762.10, 611,643.15 and 302,786.10 is: 454,179.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,762.10 : 611,643.15 = 302,786.10 : x
  2. Step 2: Convert to fraction form
    407,762.10/611,643.15 = 302,786.10/x
  3. Step 3: Cross multiply
    407,762.10x = 611,643.15 × 302,786.10
  4. Step 4: Simplify right side
    407,762.10x = 185,197,043,980.22
  5. Step 5: Solve for x
    x = 185,197,043,980.22/407,762.10
  6. Step 6: Final answer
    x = 454,179.15

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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.