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Finding the Fourth Proportional to 301,000, 415,444.80 and 180,168.26

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Solution

The fourth proportional to 301,000, 415,444.80 and 180,168.26 is: 248,670.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,000 : 415,444.80 = 180,168.26 : x
  2. Step 2: Convert to fraction form
    301,000/415,444.80 = 180,168.26/x
  3. Step 3: Cross multiply
    301,000x = 415,444.80 × 180,168.26
  4. Step 4: Simplify right side
    301,000x = 74,849,966,742.05
  5. Step 5: Solve for x
    x = 74,849,966,742.05/301,000
  6. Step 6: Final answer
    x = 248,670.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.