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Finding the Fourth Proportional to 569,047.37, 785,276.01 and 314,422.25

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Solution

The fourth proportional to 569,047.37, 785,276.01 and 314,422.25 is: 433,897.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,047.37 : 785,276.01 = 314,422.25 : x
  2. Step 2: Convert to fraction form
    569,047.37/785,276.01 = 314,422.25/x
  3. Step 3: Cross multiply
    569,047.37x = 785,276.01 × 314,422.25
  4. Step 4: Simplify right side
    569,047.37x = 246,908,246,008.84
  5. Step 5: Solve for x
    x = 246,908,246,008.84/569,047.37
  6. Step 6: Final answer
    x = 433,897.53

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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.