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Finding the Fourth Proportional to 295,705.40, 443,558.10 and 96,032.30

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Solution

The fourth proportional to 295,705.40, 443,558.10 and 96,032.30 is: 144,048.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,705.40 : 443,558.10 = 96,032.30 : x
  2. Step 2: Convert to fraction form
    295,705.40/443,558.10 = 96,032.30/x
  3. Step 3: Cross multiply
    295,705.40x = 443,558.10 × 96,032.30
  4. Step 4: Simplify right side
    295,705.40x = 42,595,904,526.63
  5. Step 5: Solve for x
    x = 42,595,904,526.63/295,705.40
  6. Step 6: Final answer
    x = 144,048.45

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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.