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Finding the Fourth Proportional to 271,477.80, 407,216.70 and 176,999.40

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Solution

The fourth proportional to 271,477.80, 407,216.70 and 176,999.40 is: 265,499.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,477.80 : 407,216.70 = 176,999.40 : x
  2. Step 2: Convert to fraction form
    271,477.80/407,216.70 = 176,999.40/x
  3. Step 3: Cross multiply
    271,477.80x = 407,216.70 × 176,999.40
  4. Step 4: Simplify right side
    271,477.80x = 72,077,111,569.98
  5. Step 5: Solve for x
    x = 72,077,111,569.98/271,477.80
  6. Step 6: Final answer
    x = 265,499.10

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1.5x scale

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.