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Finding the Fourth Proportional to 466,328.30, 698,974.05 and 256,117.10

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Solution

The fourth proportional to 466,328.30, 698,974.05 and 256,117.10 is: 383,890.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,328.30 : 698,974.05 = 256,117.10 : x
  2. Step 2: Convert to fraction form
    466,328.30/698,974.05 = 256,117.10/x
  3. Step 3: Cross multiply
    466,328.30x = 698,974.05 × 256,117.10
  4. Step 4: Simplify right side
    466,328.30x = 179,019,206,661.26
  5. Step 5: Solve for x
    x = 179,019,206,661.26/466,328.30
  6. Step 6: Final answer
    x = 383,890.93

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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.