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Finding the Fourth Proportional to 546,688.38, 754,427.87 and 304,970.76

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Solution

The fourth proportional to 546,688.38, 754,427.87 and 304,970.76 is: 420,858.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,688.38 : 754,427.87 = 304,970.76 : x
  2. Step 2: Convert to fraction form
    546,688.38/754,427.87 = 304,970.76/x
  3. Step 3: Cross multiply
    546,688.38x = 754,427.87 × 304,970.76
  4. Step 4: Simplify right side
    546,688.38x = 230,078,441,641.51
  5. Step 5: Solve for x
    x = 230,078,441,641.51/546,688.38
  6. Step 6: Final answer
    x = 420,858.48

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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.