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Finding the Fourth Proportional to 507,310.26, 760,971.76 and 152,303.64

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Solution

The fourth proportional to 507,310.26, 760,971.76 and 152,303.64 is: 228,457.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,310.26 : 760,971.76 = 152,303.64 : x
  2. Step 2: Convert to fraction form
    507,310.26/760,971.76 = 152,303.64/x
  3. Step 3: Cross multiply
    507,310.26x = 760,971.76 × 152,303.64
  4. Step 4: Simplify right side
    507,310.26x = 115,898,768,985.21
  5. Step 5: Solve for x
    x = 115,898,768,985.21/507,310.26
  6. Step 6: Final answer
    x = 228,457.37

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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.