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Finding the Fourth Proportional to 508,693.30, 761,873.55 and 497,029.30

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Solution

The fourth proportional to 508,693.30, 761,873.55 and 497,029.30 is: 744,404.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,693.30 : 761,873.55 = 497,029.30 : x
  2. Step 2: Convert to fraction form
    508,693.30/761,873.55 = 497,029.30/x
  3. Step 3: Cross multiply
    508,693.30x = 761,873.55 × 497,029.30
  4. Step 4: Simplify right side
    508,693.30x = 378,673,477,245.02
  5. Step 5: Solve for x
    x = 378,673,477,245.02/508,693.30
  6. Step 6: Final answer
    x = 744,404.29

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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.