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Finding the Fourth Proportional to 475,301.95, 712,953.45 and 120,315.97

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Solution

The fourth proportional to 475,301.95, 712,953.45 and 120,315.97 is: 180,474.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,301.95 : 712,953.45 = 120,315.97 : x
  2. Step 2: Convert to fraction form
    475,301.95/712,953.45 = 120,315.97/x
  3. Step 3: Cross multiply
    475,301.95x = 712,953.45 × 120,315.97
  4. Step 4: Simplify right side
    475,301.95x = 85,779,684,119.21
  5. Step 5: Solve for x
    x = 85,779,684,119.21/475,301.95
  6. Step 6: Final answer
    x = 180,474.09

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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.