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Finding the Fourth Proportional to 333,507, 500,312.34 and 111,942.84

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Solution

The fourth proportional to 333,507, 500,312.34 and 111,942.84 is: 167,931.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,507 : 500,312.34 = 111,942.84 : x
  2. Step 2: Convert to fraction form
    333,507/500,312.34 = 111,942.84/x
  3. Step 3: Cross multiply
    333,507x = 500,312.34 × 111,942.84
  4. Step 4: Simplify right side
    333,507x = 56,006,384,226.65
  5. Step 5: Solve for x
    x = 56,006,384,226.65/333,507
  6. Step 6: Final answer
    x = 167,931.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.