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Finding the Fourth Proportional to 569,416, 785,725.98 and 314,732.56

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Solution

The fourth proportional to 569,416, 785,725.98 and 314,732.56 is: 434,293.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,416 : 785,725.98 = 314,732.56 : x
  2. Step 2: Convert to fraction form
    569,416/785,725.98 = 314,732.56/x
  3. Step 3: Cross multiply
    569,416x = 785,725.98 × 314,732.56
  4. Step 4: Simplify right side
    569,416x = 247,293,549,143.91
  5. Step 5: Solve for x
    x = 247,293,549,143.91/569,416
  6. Step 6: Final answer
    x = 434,293.29

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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.