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Finding the Fourth Proportional to 497,031.13, 745,546.70 and 123,054.13

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Solution

The fourth proportional to 497,031.13, 745,546.70 and 123,054.13 is: 184,581.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,031.13 : 745,546.70 = 123,054.13 : x
  2. Step 2: Convert to fraction form
    497,031.13/745,546.70 = 123,054.13/x
  3. Step 3: Cross multiply
    497,031.13x = 745,546.70 × 123,054.13
  4. Step 4: Simplify right side
    497,031.13x = 91,742,600,542.87
  5. Step 5: Solve for x
    x = 91,742,600,542.87/497,031.13
  6. Step 6: Final answer
    x = 184,581.20

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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.