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Finding the Fourth Proportional to 475,922.86, 713,529.20 and 286,338.81

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Solution

The fourth proportional to 475,922.86, 713,529.20 and 286,338.81 is: 429,294.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,922.86 : 713,529.20 = 286,338.81 : x
  2. Step 2: Convert to fraction form
    475,922.86/713,529.20 = 286,338.81/x
  3. Step 3: Cross multiply
    475,922.86x = 713,529.20 × 286,338.81
  4. Step 4: Simplify right side
    475,922.86x = 204,311,105,419.83
  5. Step 5: Solve for x
    x = 204,311,105,419.83/475,922.86
  6. Step 6: Final answer
    x = 429,294.58

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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.