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Finding the Fourth Proportional to 307,835.40, 429,919.80 and 307,835.40

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Solution

The fourth proportional to 307,835.40, 429,919.80 and 307,835.40 is: 429,919.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,835.40 : 429,919.80 = 307,835.40 : x
  2. Step 2: Convert to fraction form
    307,835.40/429,919.80 = 307,835.40/x
  3. Step 3: Cross multiply
    307,835.40x = 429,919.80 × 307,835.40
  4. Step 4: Simplify right side
    307,835.40x = 132,344,533,600.92
  5. Step 5: Solve for x
    x = 132,344,533,600.92/307,835.40
  6. Step 6: Final answer
    x = 429,919.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.