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Finding the Fourth Proportional to 407,123.10, 610,903.35 and 170,489.70

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Solution

The fourth proportional to 407,123.10, 610,903.35 and 170,489.70 is: 255,826.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,123.10 : 610,903.35 = 170,489.70 : x
  2. Step 2: Convert to fraction form
    407,123.10/610,903.35 = 170,489.70/x
  3. Step 3: Cross multiply
    407,123.10x = 610,903.35 × 170,489.70
  4. Step 4: Simplify right side
    407,123.10x = 104,152,728,870.50
  5. Step 5: Solve for x
    x = 104,152,728,870.50/407,123.10
  6. Step 6: Final answer
    x = 255,826.13

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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.