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Finding the Fourth Proportional to 302,430.14, 417,350.30 and 166,461.18

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Solution

The fourth proportional to 302,430.14, 417,350.30 and 166,461.18 is: 229,714.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,430.14 : 417,350.30 = 166,461.18 : x
  2. Step 2: Convert to fraction form
    302,430.14/417,350.30 = 166,461.18/x
  3. Step 3: Cross multiply
    302,430.14x = 417,350.30 × 166,461.18
  4. Step 4: Simplify right side
    302,430.14x = 69,472,623,411.35
  5. Step 5: Solve for x
    x = 69,472,623,411.35/302,430.14
  6. Step 6: Final answer
    x = 229,714.62

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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.