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Finding the Fourth Proportional to 405,875.60, 608,813.40 and 403,542.80

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Solution

The fourth proportional to 405,875.60, 608,813.40 and 403,542.80 is: 605,314.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,875.60 : 608,813.40 = 403,542.80 : x
  2. Step 2: Convert to fraction form
    405,875.60/608,813.40 = 403,542.80/x
  3. Step 3: Cross multiply
    405,875.60x = 608,813.40 × 403,542.80
  4. Step 4: Simplify right side
    405,875.60x = 245,682,264,113.52
  5. Step 5: Solve for x
    x = 245,682,264,113.52/405,875.60
  6. Step 6: Final answer
    x = 605,314.20

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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.