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Finding the Fourth Proportional to 475,134.51, 655,160.21 and 302,779.46

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Solution

The fourth proportional to 475,134.51, 655,160.21 and 302,779.46 is: 417,500.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,134.51 : 655,160.21 = 302,779.46 : x
  2. Step 2: Convert to fraction form
    475,134.51/655,160.21 = 302,779.46/x
  3. Step 3: Cross multiply
    475,134.51x = 655,160.21 × 302,779.46
  4. Step 4: Simplify right side
    475,134.51x = 198,369,055,856.71
  5. Step 5: Solve for x
    x = 198,369,055,856.71/475,134.51
  6. Step 6: Final answer
    x = 417,500.83

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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.