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Finding the Fourth Proportional to 419,030.40, 627,854.40 and 356,822.40

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Solution

The fourth proportional to 419,030.40, 627,854.40 and 356,822.40 is: 534,645.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,030.40 : 627,854.40 = 356,822.40 : x
  2. Step 2: Convert to fraction form
    419,030.40/627,854.40 = 356,822.40/x
  3. Step 3: Cross multiply
    419,030.40x = 627,854.40 × 356,822.40
  4. Step 4: Simplify right side
    419,030.40x = 224,032,513,858.56
  5. Step 5: Solve for x
    x = 224,032,513,858.56/419,030.40
  6. Step 6: Final answer
    x = 534,645.01

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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.