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Finding the Fourth Proportional to 307,497.60, 461,246.40 and 286,502.40

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Solution

The fourth proportional to 307,497.60, 461,246.40 and 286,502.40 is: 429,753.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,497.60 : 461,246.40 = 286,502.40 : x
  2. Step 2: Convert to fraction form
    307,497.60/461,246.40 = 286,502.40/x
  3. Step 3: Cross multiply
    307,497.60x = 461,246.40 × 286,502.40
  4. Step 4: Simplify right side
    307,497.60x = 132,148,200,591.36
  5. Step 5: Solve for x
    x = 132,148,200,591.36/307,497.60
  6. Step 6: Final answer
    x = 429,753.60

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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.