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Finding the Fourth Proportional to 504,564.90, 696,290.64 and 275,124

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Solution

The fourth proportional to 504,564.90, 696,290.64 and 275,124 is: 379,666.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,564.90 : 696,290.64 = 275,124 : x
  2. Step 2: Convert to fraction form
    504,564.90/696,290.64 = 275,124/x
  3. Step 3: Cross multiply
    504,564.90x = 696,290.64 × 275,124
  4. Step 4: Simplify right side
    504,564.90x = 191,566,266,039.36
  5. Step 5: Solve for x
    x = 191,566,266,039.36/504,564.90
  6. Step 6: Final answer
    x = 379,666.26

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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.