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Finding the Fourth Proportional to 304,442.81, 456,654.75 and 144,633.75

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Solution

The fourth proportional to 304,442.81, 456,654.75 and 144,633.75 is: 216,946.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,442.81 : 456,654.75 = 144,633.75 : x
  2. Step 2: Convert to fraction form
    304,442.81/456,654.75 = 144,633.75/x
  3. Step 3: Cross multiply
    304,442.81x = 456,654.75 × 144,633.75
  4. Step 4: Simplify right side
    304,442.81x = 66,047,688,947.81
  5. Step 5: Solve for x
    x = 66,047,688,947.81/304,442.81
  6. Step 6: Final answer
    x = 216,946.13

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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.