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Finding the Fourth Proportional to 569,104.34, 785,363.73 and 314,453.30

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Solution

The fourth proportional to 569,104.34, 785,363.73 and 314,453.30 is: 433,945.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,104.34 : 785,363.73 = 314,453.30 : x
  2. Step 2: Convert to fraction form
    569,104.34/785,363.73 = 314,453.30/x
  3. Step 3: Cross multiply
    569,104.34x = 785,363.73 × 314,453.30
  4. Step 4: Simplify right side
    569,104.34x = 246,960,216,598.81
  5. Step 5: Solve for x
    x = 246,960,216,598.81/569,104.34
  6. Step 6: Final answer
    x = 433,945.41

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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.