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Finding the Fourth Proportional to 307,869.40, 429,967.40 and 307,869.40

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Solution

The fourth proportional to 307,869.40, 429,967.40 and 307,869.40 is: 429,967.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,869.40 : 429,967.40 = 307,869.40 : x
  2. Step 2: Convert to fraction form
    307,869.40/429,967.40 = 307,869.40/x
  3. Step 3: Cross multiply
    307,869.40x = 429,967.40 × 307,869.40
  4. Step 4: Simplify right side
    307,869.40x = 132,373,805,457.56
  5. Step 5: Solve for x
    x = 132,373,805,457.56/307,869.40
  6. Step 6: Final answer
    x = 429,967.40

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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.