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Finding the Fourth Proportional to 885,114, 1,328,996.16 and 506,461.68

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Solution

The fourth proportional to 885,114, 1,328,996.16 and 506,461.68 is: 760,450.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    885,114 : 1,328,996.16 = 506,461.68 : x
  2. Step 2: Convert to fraction form
    885,114/1,328,996.16 = 506,461.68/x
  3. Step 3: Cross multiply
    885,114x = 1,328,996.16 × 506,461.68
  4. Step 4: Simplify right side
    885,114x = 673,085,627,907.15
  5. Step 5: Solve for x
    x = 673,085,627,907.15/885,114
  6. Step 6: Final answer
    x = 760,450.78

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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.