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Finding the Fourth Proportional to 304,284.51, 456,689.21 and 117,427.23

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Solution

The fourth proportional to 304,284.51, 456,689.21 and 117,427.23 is: 176,242.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,284.51 : 456,689.21 = 117,427.23 : x
  2. Step 2: Convert to fraction form
    304,284.51/456,689.21 = 117,427.23/x
  3. Step 3: Cross multiply
    304,284.51x = 456,689.21 × 117,427.23
  4. Step 4: Simplify right side
    304,284.51x = 53,627,748,314.05
  5. Step 5: Solve for x
    x = 53,627,748,314.05/304,284.51
  6. Step 6: Final answer
    x = 176,242.12

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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.