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Finding the Fourth Proportional to 304,903.12, 457,403.16 and 94,497.52

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Solution

The fourth proportional to 304,903.12, 457,403.16 and 94,497.52 is: 141,761.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,903.12 : 457,403.16 = 94,497.52 : x
  2. Step 2: Convert to fraction form
    304,903.12/457,403.16 = 94,497.52/x
  3. Step 3: Cross multiply
    304,903.12x = 457,403.16 × 94,497.52
  4. Step 4: Simplify right side
    304,903.12x = 43,223,464,260.16
  5. Step 5: Solve for x
    x = 43,223,464,260.16/304,903.12
  6. Step 6: Final answer
    x = 141,761.31

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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.