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Finding the Fourth Proportional to 974,200, 1,460,716.80 and 404,895.04

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Solution

The fourth proportional to 974,200, 1,460,716.80 and 404,895.04 is: 607,100.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,200 : 1,460,716.80 = 404,895.04 : x
  2. Step 2: Convert to fraction form
    974,200/1,460,716.80 = 404,895.04/x
  3. Step 3: Cross multiply
    974,200x = 1,460,716.80 × 404,895.04
  4. Step 4: Simplify right side
    974,200x = 591,436,987,164.67
  5. Step 5: Solve for x
    x = 591,436,987,164.67/974,200
  6. Step 6: Final answer
    x = 607,100.17

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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.