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Finding the Fourth Proportional to 304,473.80, 456,516.30 and 127,051.40

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Solution

The fourth proportional to 304,473.80, 456,516.30 and 127,051.40 is: 190,495.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,473.80 : 456,516.30 = 127,051.40 : x
  2. Step 2: Convert to fraction form
    304,473.80/456,516.30 = 127,051.40/x
  3. Step 3: Cross multiply
    304,473.80x = 456,516.30 × 127,051.40
  4. Step 4: Simplify right side
    304,473.80x = 58,001,035,037.82
  5. Step 5: Solve for x
    x = 58,001,035,037.82/304,473.80
  6. Step 6: Final answer
    x = 190,495.98

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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.