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Finding the Fourth Proportional to 436,312.14, 601,614.32 and 307,209.36

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Solution

The fourth proportional to 436,312.14, 601,614.32 and 307,209.36 is: 423,599.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,312.14 : 601,614.32 = 307,209.36 : x
  2. Step 2: Convert to fraction form
    436,312.14/601,614.32 = 307,209.36/x
  3. Step 3: Cross multiply
    436,312.14x = 601,614.32 × 307,209.36
  4. Step 4: Simplify right side
    436,312.14x = 184,821,550,214.04
  5. Step 5: Solve for x
    x = 184,821,550,214.04/436,312.14
  6. Step 6: Final answer
    x = 423,599.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.