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Finding the Fourth Proportional to 1,046,365, 1,569,562.26 and 298,411

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Solution

The fourth proportional to 1,046,365, 1,569,562.26 and 298,411 is: 447,620.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046,365 : 1,569,562.26 = 298,411 : x
  2. Step 2: Convert to fraction form
    1,046,365/1,569,562.26 = 298,411/x
  3. Step 3: Cross multiply
    1,046,365x = 1,569,562.26 × 298,411
  4. Step 4: Simplify right side
    1,046,365x = 468,374,643,568.86
  5. Step 5: Solve for x
    x = 468,374,643,568.86/1,046,365
  6. Step 6: Final answer
    x = 447,620.71

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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.