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Finding the Fourth Proportional to 506,057.16, 698,082.42 and 324,567.12

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Solution

The fourth proportional to 506,057.16, 698,082.42 and 324,567.12 is: 447,725.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,057.16 : 698,082.42 = 324,567.12 : x
  2. Step 2: Convert to fraction form
    506,057.16/698,082.42 = 324,567.12/x
  3. Step 3: Cross multiply
    506,057.16x = 698,082.42 × 324,567.12
  4. Step 4: Simplify right side
    506,057.16x = 226,574,600,582.03
  5. Step 5: Solve for x
    x = 226,574,600,582.03/506,057.16
  6. Step 6: Final answer
    x = 447,725.31

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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.