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Finding the Fourth Proportional to 631,572.84, 872,152.44 and 405,612

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Solution

The fourth proportional to 631,572.84, 872,152.44 and 405,612 is: 560,118.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,572.84 : 872,152.44 = 405,612 : x
  2. Step 2: Convert to fraction form
    631,572.84/872,152.44 = 405,612/x
  3. Step 3: Cross multiply
    631,572.84x = 872,152.44 × 405,612
  4. Step 4: Simplify right side
    631,572.84x = 353,755,495,493.28
  5. Step 5: Solve for x
    x = 353,755,495,493.28/631,572.84
  6. Step 6: Final answer
    x = 560,118.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.