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Finding the Fourth Proportional to 511,366.59, 705,529.51 and 296,463.76

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Solution

The fourth proportional to 511,366.59, 705,529.51 and 296,463.76 is: 409,029.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,366.59 : 705,529.51 = 296,463.76 : x
  2. Step 2: Convert to fraction form
    511,366.59/705,529.51 = 296,463.76/x
  3. Step 3: Cross multiply
    511,366.59x = 705,529.51 × 296,463.76
  4. Step 4: Simplify right side
    511,366.59x = 209,163,931,325.56
  5. Step 5: Solve for x
    x = 209,163,931,325.56/511,366.59
  6. Step 6: Final answer
    x = 409,029.33

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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.