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Finding the Fourth Proportional to 569,404, 785,771.76 and 314,742.88

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Solution

The fourth proportional to 569,404, 785,771.76 and 314,742.88 is: 434,341.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,404 : 785,771.76 = 314,742.88 : x
  2. Step 2: Convert to fraction form
    569,404/785,771.76 = 314,742.88/x
  3. Step 3: Cross multiply
    569,404x = 785,771.76 × 314,742.88
  4. Step 4: Simplify right side
    569,404x = 247,316,066,765.07
  5. Step 5: Solve for x
    x = 247,316,066,765.07/569,404
  6. Step 6: Final answer
    x = 434,341.99

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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.