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Finding the Fourth Proportional to 586,064.16, 808,768.80 and 327,944.16

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Solution

The fourth proportional to 586,064.16, 808,768.80 and 327,944.16 is: 452,563.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,064.16 : 808,768.80 = 327,944.16 : x
  2. Step 2: Convert to fraction form
    586,064.16/808,768.80 = 327,944.16/x
  3. Step 3: Cross multiply
    586,064.16x = 808,768.80 × 327,944.16
  4. Step 4: Simplify right side
    586,064.16x = 265,231,004,750.21
  5. Step 5: Solve for x
    x = 265,231,004,750.21/586,064.16
  6. Step 6: Final answer
    x = 452,563.09

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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.