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Finding the Fourth Proportional to 506,150.16, 698,457.24 and 279,782.16

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Solution

The fourth proportional to 506,150.16, 698,457.24 and 279,782.16 is: 386,082.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,150.16 : 698,457.24 = 279,782.16 : x
  2. Step 2: Convert to fraction form
    506,150.16/698,457.24 = 279,782.16/x
  3. Step 3: Cross multiply
    506,150.16x = 698,457.24 × 279,782.16
  4. Step 4: Simplify right side
    506,150.16x = 195,415,875,274.84
  5. Step 5: Solve for x
    x = 195,415,875,274.84/506,150.16
  6. Step 6: Final answer
    x = 386,082.81

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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.