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Finding the Fourth Proportional to 458,691.19, 633,673.70 and 301,896.87

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Solution

The fourth proportional to 458,691.19, 633,673.70 and 301,896.87 is: 417,065.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,691.19 : 633,673.70 = 301,896.87 : x
  2. Step 2: Convert to fraction form
    458,691.19/633,673.70 = 301,896.87/x
  3. Step 3: Cross multiply
    458,691.19x = 633,673.70 × 301,896.87
  4. Step 4: Simplify right side
    458,691.19x = 191,304,106,631.32
  5. Step 5: Solve for x
    x = 191,304,106,631.32/458,691.19
  6. Step 6: Final answer
    x = 417,065.14

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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.