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Finding the Fourth Proportional to 778,714.76, 1,074,624.57 and 434,529.56

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Solution

The fourth proportional to 778,714.76, 1,074,624.57 and 434,529.56 is: 599,649.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,714.76 : 1,074,624.57 = 434,529.56 : x
  2. Step 2: Convert to fraction form
    778,714.76/1,074,624.57 = 434,529.56/x
  3. Step 3: Cross multiply
    778,714.76x = 1,074,624.57 × 434,529.56
  4. Step 4: Simplify right side
    778,714.76x = 466,956,144,253.85
  5. Step 5: Solve for x
    x = 466,956,144,253.85/778,714.76
  6. Step 6: Final answer
    x = 599,649.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.