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Finding the Fourth Proportional to 302,473, 417,412.74 and 168,368.68

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Solution

The fourth proportional to 302,473, 417,412.74 and 168,368.68 is: 232,348.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,473 : 417,412.74 = 168,368.68 : x
  2. Step 2: Convert to fraction form
    302,473/417,412.74 = 168,368.68/x
  3. Step 3: Cross multiply
    302,473x = 417,412.74 × 168,368.68
  4. Step 4: Simplify right side
    302,473x = 70,279,232,048.98
  5. Step 5: Solve for x
    x = 70,279,232,048.98/302,473
  6. Step 6: Final answer
    x = 232,348.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.