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Finding the Fourth Proportional to 500,570.46, 689,051.70 and 436,797.54

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Solution

The fourth proportional to 500,570.46, 689,051.70 and 436,797.54 is: 601,266.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,570.46 : 689,051.70 = 436,797.54 : x
  2. Step 2: Convert to fraction form
    500,570.46/689,051.70 = 436,797.54/x
  3. Step 3: Cross multiply
    500,570.46x = 689,051.70 × 436,797.54
  4. Step 4: Simplify right side
    500,570.46x = 300,976,087,492.82
  5. Step 5: Solve for x
    x = 300,976,087,492.82/500,570.46
  6. Step 6: Final answer
    x = 601,266.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.