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Finding the Fourth Proportional to 304,547.41, 456,864.86 and 94,201.75

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Solution

The fourth proportional to 304,547.41, 456,864.86 and 94,201.75 is: 141,316.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,547.41 : 456,864.86 = 94,201.75 : x
  2. Step 2: Convert to fraction form
    304,547.41/456,864.86 = 94,201.75/x
  3. Step 3: Cross multiply
    304,547.41x = 456,864.86 × 94,201.75
  4. Step 4: Simplify right side
    304,547.41x = 43,037,469,325.51
  5. Step 5: Solve for x
    x = 43,037,469,325.51/304,547.41
  6. Step 6: Final answer
    x = 141,316.16

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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.