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Finding the Fourth Proportional to 497,903.42, 746,855.58 and 213,409.35

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Solution

The fourth proportional to 497,903.42, 746,855.58 and 213,409.35 is: 320,114.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,903.42 : 746,855.58 = 213,409.35 : x
  2. Step 2: Convert to fraction form
    497,903.42/746,855.58 = 213,409.35/x
  3. Step 3: Cross multiply
    497,903.42x = 746,855.58 × 213,409.35
  4. Step 4: Simplify right side
    497,903.42x = 159,385,963,871.67
  5. Step 5: Solve for x
    x = 159,385,963,871.67/497,903.42
  6. Step 6: Final answer
    x = 320,114.22

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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.