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Finding the Fourth Proportional to 569,276.16, 785,553.84 and 314,627.28

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Solution

The fourth proportional to 569,276.16, 785,553.84 and 314,627.28 is: 434,159.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,276.16 : 785,553.84 = 314,627.28 : x
  2. Step 2: Convert to fraction form
    569,276.16/785,553.84 = 314,627.28/x
  3. Step 3: Cross multiply
    569,276.16x = 785,553.84 × 314,627.28
  4. Step 4: Simplify right side
    569,276.16x = 247,156,667,972.76
  5. Step 5: Solve for x
    x = 247,156,667,972.76/569,276.16
  6. Step 6: Final answer
    x = 434,159.53

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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.