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Finding the Fourth Proportional to 543,945.84, 750,642.84 and 302,267.76

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Solution

The fourth proportional to 543,945.84, 750,642.84 and 302,267.76 is: 417,128.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,945.84 : 750,642.84 = 302,267.76 : x
  2. Step 2: Convert to fraction form
    543,945.84/750,642.84 = 302,267.76/x
  3. Step 3: Cross multiply
    543,945.84x = 750,642.84 × 302,267.76
  4. Step 4: Simplify right side
    543,945.84x = 226,895,129,806.84
  5. Step 5: Solve for x
    x = 226,895,129,806.84/543,945.84
  6. Step 6: Final answer
    x = 417,128.16

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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.