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Finding the Fourth Proportional to 500,152, 690,210.30 and 273,798.04

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Solution

The fourth proportional to 500,152, 690,210.30 and 273,798.04 is: 377,841.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,152 : 690,210.30 = 273,798.04 : x
  2. Step 2: Convert to fraction form
    500,152/690,210.30 = 273,798.04/x
  3. Step 3: Cross multiply
    500,152x = 690,210.30 × 273,798.04
  4. Step 4: Simplify right side
    500,152x = 188,978,227,327.81
  5. Step 5: Solve for x
    x = 188,978,227,327.81/500,152
  6. Step 6: Final answer
    x = 377,841.59

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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.