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Finding the Fourth Proportional to 294,430.60, 441,653.10 and 107,442.04

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Solution

The fourth proportional to 294,430.60, 441,653.10 and 107,442.04 is: 161,165.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,430.60 : 441,653.10 = 107,442.04 : x
  2. Step 2: Convert to fraction form
    294,430.60/441,653.10 = 107,442.04/x
  3. Step 3: Cross multiply
    294,430.60x = 441,653.10 × 107,442.04
  4. Step 4: Simplify right side
    294,430.60x = 47,452,110,036.32
  5. Step 5: Solve for x
    x = 47,452,110,036.32/294,430.60
  6. Step 6: Final answer
    x = 161,165.69

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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.