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Finding the Fourth Proportional to 569,642.48, 786,091.08 and 314,984.96

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Solution

The fourth proportional to 569,642.48, 786,091.08 and 314,984.96 is: 434,670.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,642.48 : 786,091.08 = 314,984.96 : x
  2. Step 2: Convert to fraction form
    569,642.48/786,091.08 = 314,984.96/x
  3. Step 3: Cross multiply
    569,642.48x = 786,091.08 × 314,984.96
  4. Step 4: Simplify right side
    569,642.48x = 247,606,867,390.16
  5. Step 5: Solve for x
    x = 247,606,867,390.16/569,642.48
  6. Step 6: Final answer
    x = 434,670.65

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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.