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Finding the Fourth Proportional to 271,454.66, 407,181.98 and 147,038.66

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Solution

The fourth proportional to 271,454.66, 407,181.98 and 147,038.66 is: 220,557.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,454.66 : 407,181.98 = 147,038.66 : x
  2. Step 2: Convert to fraction form
    271,454.66/407,181.98 = 147,038.66/x
  3. Step 3: Cross multiply
    271,454.66x = 407,181.98 × 147,038.66
  4. Step 4: Simplify right side
    271,454.66x = 59,871,492,715.35
  5. Step 5: Solve for x
    x = 59,871,492,715.35/271,454.66
  6. Step 6: Final answer
    x = 220,557.98

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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.