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Finding the Fourth Proportional to 506,748.96, 698,678.46 and 325,140.48

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Solution

The fourth proportional to 506,748.96, 698,678.46 and 325,140.48 is: 448,286.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,748.96 : 698,678.46 = 325,140.48 : x
  2. Step 2: Convert to fraction form
    506,748.96/698,678.46 = 325,140.48/x
  3. Step 3: Cross multiply
    506,748.96x = 698,678.46 × 325,140.48
  4. Step 4: Simplify right side
    506,748.96x = 227,168,649,850.06
  5. Step 5: Solve for x
    x = 227,168,649,850.06/506,748.96
  6. Step 6: Final answer
    x = 448,286.37

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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.