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Finding the Fourth Proportional to 497,903.54, 746,855.76 and 213,409.47

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Solution

The fourth proportional to 497,903.54, 746,855.76 and 213,409.47 is: 320,114.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,903.54 : 746,855.76 = 213,409.47 : x
  2. Step 2: Convert to fraction form
    497,903.54/746,855.76 = 213,409.47/x
  3. Step 3: Cross multiply
    497,903.54x = 746,855.76 × 213,409.47
  4. Step 4: Simplify right side
    497,903.54x = 159,386,091,908.05
  5. Step 5: Solve for x
    x = 159,386,091,908.05/497,903.54
  6. Step 6: Final answer
    x = 320,114.40

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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.