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Finding the Fourth Proportional to 433,141.83, 650,007.99 and 260,179.29

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Solution

The fourth proportional to 433,141.83, 650,007.99 and 260,179.29 is: 390,446.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,141.83 : 650,007.99 = 260,179.29 : x
  2. Step 2: Convert to fraction form
    433,141.83/650,007.99 = 260,179.29/x
  3. Step 3: Cross multiply
    433,141.83x = 650,007.99 × 260,179.29
  4. Step 4: Simplify right side
    433,141.83x = 169,118,617,332.53
  5. Step 5: Solve for x
    x = 169,118,617,332.53/433,141.83
  6. Step 6: Final answer
    x = 390,446.28

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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.