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Finding the Fourth Proportional to 569,164.23, 785,446.92 and 314,515.42

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Solution

The fourth proportional to 569,164.23, 785,446.92 and 314,515.42 is: 434,031.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,164.23 : 785,446.92 = 314,515.42 : x
  2. Step 2: Convert to fraction form
    569,164.23/785,446.92 = 314,515.42/x
  3. Step 3: Cross multiply
    569,164.23x = 785,446.92 × 314,515.42
  4. Step 4: Simplify right side
    569,164.23x = 247,035,167,931.51
  5. Step 5: Solve for x
    x = 247,035,167,931.51/569,164.23
  6. Step 6: Final answer
    x = 434,031.44

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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.