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Finding the Fourth Proportional to 492,856.48, 735,719.36 and 433,069.60

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Solution

The fourth proportional to 492,856.48, 735,719.36 and 433,069.60 is: 646,471.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,856.48 : 735,719.36 = 433,069.60 : x
  2. Step 2: Convert to fraction form
    492,856.48/735,719.36 = 433,069.60/x
  3. Step 3: Cross multiply
    492,856.48x = 735,719.36 × 433,069.60
  4. Step 4: Simplify right side
    492,856.48x = 318,617,688,947.46
  5. Step 5: Solve for x
    x = 318,617,688,947.46/492,856.48
  6. Step 6: Final answer
    x = 646,471.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.