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Finding the Fourth Proportional to 598,826.59, 898,709.14 and 417,734.10

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Solution

The fourth proportional to 598,826.59, 898,709.14 and 417,734.10 is: 626,928.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,826.59 : 898,709.14 = 417,734.10 : x
  2. Step 2: Convert to fraction form
    598,826.59/898,709.14 = 417,734.10/x
  3. Step 3: Cross multiply
    598,826.59x = 898,709.14 × 417,734.10
  4. Step 4: Simplify right side
    598,826.59x = 375,421,453,759.67
  5. Step 5: Solve for x
    x = 375,421,453,759.67/598,826.59
  6. Step 6: Final answer
    x = 626,928.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.