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Finding the Fourth Proportional to 333,807.63, 501,369.98 and 286,806.57

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Solution

The fourth proportional to 333,807.63, 501,369.98 and 286,806.57 is: 430,775.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,807.63 : 501,369.98 = 286,806.57 : x
  2. Step 2: Convert to fraction form
    333,807.63/501,369.98 = 286,806.57/x
  3. Step 3: Cross multiply
    333,807.63x = 501,369.98 × 286,806.57
  4. Step 4: Simplify right side
    333,807.63x = 143,796,202,830.74
  5. Step 5: Solve for x
    x = 143,796,202,830.74/333,807.63
  6. Step 6: Final answer
    x = 430,775.66

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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.