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Finding the Fourth Proportional to 546,398.56, 754,002.61 and 301,426.31

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Solution

The fourth proportional to 546,398.56, 754,002.61 and 301,426.31 is: 415,953.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,398.56 : 754,002.61 = 301,426.31 : x
  2. Step 2: Convert to fraction form
    546,398.56/754,002.61 = 301,426.31/x
  3. Step 3: Cross multiply
    546,398.56x = 754,002.61 × 301,426.31
  4. Step 4: Simplify right side
    546,398.56x = 227,276,224,462.67
  5. Step 5: Solve for x
    x = 227,276,224,462.67/546,398.56
  6. Step 6: Final answer
    x = 415,953.19

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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.