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Finding the Fourth Proportional to 630,276.76, 945,271.14 and 180,994.08

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Solution

The fourth proportional to 630,276.76, 945,271.14 and 180,994.08 is: 271,449.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,276.76 : 945,271.14 = 180,994.08 : x
  2. Step 2: Convert to fraction form
    630,276.76/945,271.14 = 180,994.08/x
  3. Step 3: Cross multiply
    630,276.76x = 945,271.14 × 180,994.08
  4. Step 4: Simplify right side
    630,276.76x = 171,088,480,334.85
  5. Step 5: Solve for x
    x = 171,088,480,334.85/630,276.76
  6. Step 6: Final answer
    x = 271,449.77

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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.