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Finding the Fourth Proportional to 761,103, 1,050,322.14 and 421,593.12

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Solution

The fourth proportional to 761,103, 1,050,322.14 and 421,593.12 is: 581,798.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,103 : 1,050,322.14 = 421,593.12 : x
  2. Step 2: Convert to fraction form
    761,103/1,050,322.14 = 421,593.12/x
  3. Step 3: Cross multiply
    761,103x = 1,050,322.14 × 421,593.12
  4. Step 4: Simplify right side
    761,103x = 442,808,588,007.68
  5. Step 5: Solve for x
    x = 442,808,588,007.68/761,103
  6. Step 6: Final answer
    x = 581,798.51

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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.