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Finding the Fourth Proportional to 366,980.20, 549,814.20 and 314,492.20

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Solution

The fourth proportional to 366,980.20, 549,814.20 and 314,492.20 is: 471,176.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,980.20 : 549,814.20 = 314,492.20 : x
  2. Step 2: Convert to fraction form
    366,980.20/549,814.20 = 314,492.20/x
  3. Step 3: Cross multiply
    366,980.20x = 549,814.20 × 314,492.20
  4. Step 4: Simplify right side
    366,980.20x = 172,912,277,349.24
  5. Step 5: Solve for x
    x = 172,912,277,349.24/366,980.20
  6. Step 6: Final answer
    x = 471,176.04

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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.