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Finding the Fourth Proportional to 504,972.35, 697,114.37 and 314,047.25

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Solution

The fourth proportional to 504,972.35, 697,114.37 and 314,047.25 is: 433,542.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,972.35 : 697,114.37 = 314,047.25 : x
  2. Step 2: Convert to fraction form
    504,972.35/697,114.37 = 314,047.25/x
  3. Step 3: Cross multiply
    504,972.35x = 697,114.37 × 314,047.25
  4. Step 4: Simplify right side
    504,972.35x = 218,926,845,778.17
  5. Step 5: Solve for x
    x = 218,926,845,778.17/504,972.35
  6. Step 6: Final answer
    x = 433,542.25

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1.5x scale

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.