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Finding the Fourth Proportional to 330,712.20, 494,756.10 and 286,826.40

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Solution

The fourth proportional to 330,712.20, 494,756.10 and 286,826.40 is: 429,101.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,712.20 : 494,756.10 = 286,826.40 : x
  2. Step 2: Convert to fraction form
    330,712.20/494,756.10 = 286,826.40/x
  3. Step 3: Cross multiply
    330,712.20x = 494,756.10 × 286,826.40
  4. Step 4: Simplify right side
    330,712.20x = 141,909,111,041.04
  5. Step 5: Solve for x
    x = 141,909,111,041.04/330,712.20
  6. Step 6: Final answer
    x = 429,101.53

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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.