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Finding the Fourth Proportional to 506,824.57, 760,262.15 and 151,804.77

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Solution

The fourth proportional to 506,824.57, 760,262.15 and 151,804.77 is: 227,714.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,824.57 : 760,262.15 = 151,804.77 : x
  2. Step 2: Convert to fraction form
    506,824.57/760,262.15 = 151,804.77/x
  3. Step 3: Cross multiply
    506,824.57x = 760,262.15 × 151,804.77
  4. Step 4: Simplify right side
    506,824.57x = 115,411,420,820.46
  5. Step 5: Solve for x
    x = 115,411,420,820.46/506,824.57
  6. Step 6: Final answer
    x = 227,714.73

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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.