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Finding the Fourth Proportional to 307,834.40, 429,918.40 and 307,834.40

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Solution

The fourth proportional to 307,834.40, 429,918.40 and 307,834.40 is: 429,918.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,834.40 : 429,918.40 = 307,834.40 : x
  2. Step 2: Convert to fraction form
    307,834.40/429,918.40 = 307,834.40/x
  3. Step 3: Cross multiply
    307,834.40x = 429,918.40 × 307,834.40
  4. Step 4: Simplify right side
    307,834.40x = 132,343,672,712.96
  5. Step 5: Solve for x
    x = 132,343,672,712.96/307,834.40
  6. Step 6: Final answer
    x = 429,918.40

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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.