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Finding the Fourth Proportional to 508,925.46, 763,650.64 and 209,627.22

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Solution

The fourth proportional to 508,925.46, 763,650.64 and 209,627.22 is: 314,548.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,925.46 : 763,650.64 = 209,627.22 : x
  2. Step 2: Convert to fraction form
    508,925.46/763,650.64 = 209,627.22/x
  3. Step 3: Cross multiply
    508,925.46x = 763,650.64 × 209,627.22
  4. Step 4: Simplify right side
    508,925.46x = 160,081,960,714.42
  5. Step 5: Solve for x
    x = 160,081,960,714.42/508,925.46
  6. Step 6: Final answer
    x = 314,548.93

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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.