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Finding the Fourth Proportional to 507,538.89, 761,308.32 and 152,553.24

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Solution

The fourth proportional to 507,538.89, 761,308.32 and 152,553.24 is: 228,829.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,538.89 : 761,308.32 = 152,553.24 : x
  2. Step 2: Convert to fraction form
    507,538.89/761,308.32 = 152,553.24/x
  3. Step 3: Cross multiply
    507,538.89x = 761,308.32 × 152,553.24
  4. Step 4: Simplify right side
    507,538.89x = 116,140,050,854.96
  5. Step 5: Solve for x
    x = 116,140,050,854.96/507,538.89
  6. Step 6: Final answer
    x = 228,829.86

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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.