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Finding the Fourth Proportional to 302,575.70, 453,863.55 and 208,097.30

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Solution

The fourth proportional to 302,575.70, 453,863.55 and 208,097.30 is: 312,145.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,575.70 : 453,863.55 = 208,097.30 : x
  2. Step 2: Convert to fraction form
    302,575.70/453,863.55 = 208,097.30/x
  3. Step 3: Cross multiply
    302,575.70x = 453,863.55 × 208,097.30
  4. Step 4: Simplify right side
    302,575.70x = 94,447,779,323.42
  5. Step 5: Solve for x
    x = 94,447,779,323.42/302,575.70
  6. Step 6: Final answer
    x = 312,145.95

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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.