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Finding the Fourth Proportional to 307,851.60, 461,777.40 and 286,856.40

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Solution

The fourth proportional to 307,851.60, 461,777.40 and 286,856.40 is: 430,284.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,851.60 : 461,777.40 = 286,856.40 : x
  2. Step 2: Convert to fraction form
    307,851.60/461,777.40 = 286,856.40/x
  3. Step 3: Cross multiply
    307,851.60x = 461,777.40 × 286,856.40
  4. Step 4: Simplify right side
    307,851.60x = 132,463,802,565.36
  5. Step 5: Solve for x
    x = 132,463,802,565.36/307,851.60
  6. Step 6: Final answer
    x = 430,284.60

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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.