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Finding the Fourth Proportional to 398,281.02, 549,627.51 and 219,433.02

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Solution

The fourth proportional to 398,281.02, 549,627.51 and 219,433.02 is: 302,817.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,281.02 : 549,627.51 = 219,433.02 : x
  2. Step 2: Convert to fraction form
    398,281.02/549,627.51 = 219,433.02/x
  3. Step 3: Cross multiply
    398,281.02x = 549,627.51 × 219,433.02
  4. Step 4: Simplify right side
    398,281.02x = 120,606,424,394.38
  5. Step 5: Solve for x
    x = 120,606,424,394.38/398,281.02
  6. Step 6: Final answer
    x = 302,817.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.