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Finding the Fourth Proportional to 405,101.60, 607,652.40 and 286,906.40

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Solution

The fourth proportional to 405,101.60, 607,652.40 and 286,906.40 is: 430,359.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,101.60 : 607,652.40 = 286,906.40 : x
  2. Step 2: Convert to fraction form
    405,101.60/607,652.40 = 286,906.40/x
  3. Step 3: Cross multiply
    405,101.60x = 607,652.40 × 286,906.40
  4. Step 4: Simplify right side
    405,101.60x = 174,339,362,535.36
  5. Step 5: Solve for x
    x = 174,339,362,535.36/405,101.60
  6. Step 6: Final answer
    x = 430,359.60

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1.5x scale

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.