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Finding the Fourth Proportional to 466,903.90, 698,800.65 and 410,916.70

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Solution

The fourth proportional to 466,903.90, 698,800.65 and 410,916.70 is: 615,006.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,903.90 : 698,800.65 = 410,916.70 : x
  2. Step 2: Convert to fraction form
    466,903.90/698,800.65 = 410,916.70/x
  3. Step 3: Cross multiply
    466,903.90x = 698,800.65 × 410,916.70
  4. Step 4: Simplify right side
    466,903.90x = 287,148,857,055.86
  5. Step 5: Solve for x
    x = 287,148,857,055.86/466,903.90
  6. Step 6: Final answer
    x = 615,006.34

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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.