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Finding the Fourth Proportional to 290,725.10, 401,359.48 and 176,023.34

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Solution

The fourth proportional to 290,725.10, 401,359.48 and 176,023.34 is: 243,008.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,725.10 : 401,359.48 = 176,023.34 : x
  2. Step 2: Convert to fraction form
    290,725.10/401,359.48 = 176,023.34/x
  3. Step 3: Cross multiply
    290,725.10x = 401,359.48 × 176,023.34
  4. Step 4: Simplify right side
    290,725.10x = 70,648,636,210.26
  5. Step 5: Solve for x
    x = 70,648,636,210.26/290,725.10
  6. Step 6: Final answer
    x = 243,008.38

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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.