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Finding the Fourth Proportional to 462,907.54, 693,646.89 and 312,558.58

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Solution

The fourth proportional to 462,907.54, 693,646.89 and 312,558.58 is: 468,355.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,907.54 : 693,646.89 = 312,558.58 : x
  2. Step 2: Convert to fraction form
    462,907.54/693,646.89 = 312,558.58/x
  3. Step 3: Cross multiply
    462,907.54x = 693,646.89 × 312,558.58
  4. Step 4: Simplify right side
    462,907.54x = 216,805,286,959.82
  5. Step 5: Solve for x
    x = 216,805,286,959.82/462,907.54
  6. Step 6: Final answer
    x = 468,355.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.