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Finding the Fourth Proportional to 504,085.80, 756,128.70 and 457,429.80

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Solution

The fourth proportional to 504,085.80, 756,128.70 and 457,429.80 is: 686,144.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,085.80 : 756,128.70 = 457,429.80 : x
  2. Step 2: Convert to fraction form
    504,085.80/756,128.70 = 457,429.80/x
  3. Step 3: Cross multiply
    504,085.80x = 756,128.70 × 457,429.80
  4. Step 4: Simplify right side
    504,085.80x = 345,875,800,015.26
  5. Step 5: Solve for x
    x = 345,875,800,015.26/504,085.80
  6. Step 6: Final answer
    x = 686,144.70

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