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Finding the Fourth Proportional to 543,842.10, 750,622.14 and 302,207.76

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Solution

The fourth proportional to 543,842.10, 750,622.14 and 302,207.76 is: 417,113.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,842.10 : 750,622.14 = 302,207.76 : x
  2. Step 2: Convert to fraction form
    543,842.10/750,622.14 = 302,207.76/x
  3. Step 3: Cross multiply
    543,842.10x = 750,622.14 × 302,207.76
  4. Step 4: Simplify right side
    543,842.10x = 226,843,835,535.81
  5. Step 5: Solve for x
    x = 226,843,835,535.81/543,842.10
  6. Step 6: Final answer
    x = 417,113.41

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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.