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Finding the Fourth Proportional to 294,411.10, 441,762.45 and 168,148.30

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Solution

The fourth proportional to 294,411.10, 441,762.45 and 168,148.30 is: 252,305.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,411.10 : 441,762.45 = 168,148.30 : x
  2. Step 2: Convert to fraction form
    294,411.10/441,762.45 = 168,148.30/x
  3. Step 3: Cross multiply
    294,411.10x = 441,762.45 × 168,148.30
  4. Step 4: Simplify right side
    294,411.10x = 74,281,604,971.34
  5. Step 5: Solve for x
    x = 74,281,604,971.34/294,411.10
  6. Step 6: Final answer
    x = 252,305.72

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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.