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Finding the Fourth Proportional to 304,277.16, 456,415.80 and 114,686.16

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Solution

The fourth proportional to 304,277.16, 456,415.80 and 114,686.16 is: 172,029.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,277.16 : 456,415.80 = 114,686.16 : x
  2. Step 2: Convert to fraction form
    304,277.16/456,415.80 = 114,686.16/x
  3. Step 3: Cross multiply
    304,277.16x = 456,415.80 × 114,686.16
  4. Step 4: Simplify right side
    304,277.16x = 52,344,575,465.33
  5. Step 5: Solve for x
    x = 52,344,575,465.33/304,277.16
  6. Step 6: Final answer
    x = 172,029.26

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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.