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Finding the Fourth Proportional to 307,866.60, 461,799.90 and 286,871.40

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Solution

The fourth proportional to 307,866.60, 461,799.90 and 286,871.40 is: 430,307.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,866.60 : 461,799.90 = 286,871.40 : x
  2. Step 2: Convert to fraction form
    307,866.60/461,799.90 = 286,871.40/x
  3. Step 3: Cross multiply
    307,866.60x = 461,799.90 × 286,871.40
  4. Step 4: Simplify right side
    307,866.60x = 132,477,183,832.86
  5. Step 5: Solve for x
    x = 132,477,183,832.86/307,866.60
  6. Step 6: Final answer
    x = 430,307.10

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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.