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Finding the Fourth Proportional to 460,619.76, 690,798.42 and 291,885.42

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Solution

The fourth proportional to 460,619.76, 690,798.42 and 291,885.42 is: 437,744.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,619.76 : 690,798.42 = 291,885.42 : x
  2. Step 2: Convert to fraction form
    460,619.76/690,798.42 = 291,885.42/x
  3. Step 3: Cross multiply
    460,619.76x = 690,798.42 × 291,885.42
  4. Step 4: Simplify right side
    460,619.76x = 201,633,986,957.04
  5. Step 5: Solve for x
    x = 201,633,986,957.04/460,619.76
  6. Step 6: Final answer
    x = 437,744.98

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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.