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Finding the Fourth Proportional to 546,116.28, 753,666.32 and 304,400.84

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Solution

The fourth proportional to 546,116.28, 753,666.32 and 304,400.84 is: 420,087.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,116.28 : 753,666.32 = 304,400.84 : x
  2. Step 2: Convert to fraction form
    546,116.28/753,666.32 = 304,400.84/x
  3. Step 3: Cross multiply
    546,116.28x = 753,666.32 × 304,400.84
  4. Step 4: Simplify right side
    546,116.28x = 229,416,657,880.38
  5. Step 5: Solve for x
    x = 229,416,657,880.38/546,116.28
  6. Step 6: Final answer
    x = 420,087.57

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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.