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Finding the Fourth Proportional to 546,438.64, 754,088.62 and 304,736.48

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Solution

The fourth proportional to 546,438.64, 754,088.62 and 304,736.48 is: 420,538.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,438.64 : 754,088.62 = 304,736.48 : x
  2. Step 2: Convert to fraction form
    546,438.64/754,088.62 = 304,736.48/x
  3. Step 3: Cross multiply
    546,438.64x = 754,088.62 × 304,736.48
  4. Step 4: Simplify right side
    546,438.64x = 229,798,311,666.86
  5. Step 5: Solve for x
    x = 229,798,311,666.86/546,438.64
  6. Step 6: Final answer
    x = 420,538.18

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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.