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Finding the Fourth Proportional to 504,109.80, 756,164.70 and 465,618.60

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Solution

The fourth proportional to 504,109.80, 756,164.70 and 465,618.60 is: 698,427.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,109.80 : 756,164.70 = 465,618.60 : x
  2. Step 2: Convert to fraction form
    504,109.80/756,164.70 = 465,618.60/x
  3. Step 3: Cross multiply
    504,109.80x = 756,164.70 × 465,618.60
  4. Step 4: Simplify right side
    504,109.80x = 352,084,348,983.42
  5. Step 5: Solve for x
    x = 352,084,348,983.42/504,109.80
  6. Step 6: Final answer
    x = 698,427.90

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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.