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Finding the Fourth Proportional to 415,309.76, 573,041.76 and 264,351.68

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Solution

The fourth proportional to 415,309.76, 573,041.76 and 264,351.68 is: 364,750.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,309.76 : 573,041.76 = 264,351.68 : x
  2. Step 2: Convert to fraction form
    415,309.76/573,041.76 = 264,351.68/x
  3. Step 3: Cross multiply
    415,309.76x = 573,041.76 × 264,351.68
  4. Step 4: Simplify right side
    415,309.76x = 151,484,551,966.16
  5. Step 5: Solve for x
    x = 151,484,551,966.16/415,309.76
  6. Step 6: Final answer
    x = 364,750.76

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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.