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Finding the Fourth Proportional to 289,332.60, 433,998.90 and 286,708.20

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Solution

The fourth proportional to 289,332.60, 433,998.90 and 286,708.20 is: 430,062.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,332.60 : 433,998.90 = 286,708.20 : x
  2. Step 2: Convert to fraction form
    289,332.60/433,998.90 = 286,708.20/x
  3. Step 3: Cross multiply
    289,332.60x = 433,998.90 × 286,708.20
  4. Step 4: Simplify right side
    289,332.60x = 124,431,043,420.98
  5. Step 5: Solve for x
    x = 124,431,043,420.98/289,332.60
  6. Step 6: Final answer
    x = 430,062.30

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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.