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Finding the Fourth Proportional to 497,907.10, 745,969.65 and 302,805.10

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Solution

The fourth proportional to 497,907.10, 745,969.65 and 302,805.10 is: 453,665.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,907.10 : 745,969.65 = 302,805.10 : x
  2. Step 2: Convert to fraction form
    497,907.10/745,969.65 = 302,805.10/x
  3. Step 3: Cross multiply
    497,907.10x = 745,969.65 × 302,805.10
  4. Step 4: Simplify right side
    497,907.10x = 225,883,414,465.22
  5. Step 5: Solve for x
    x = 225,883,414,465.22/497,907.10
  6. Step 6: Final answer
    x = 453,665.78

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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.