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Finding the Fourth Proportional to 562,588.47, 776,376.92 and 320,883.28

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Solution

The fourth proportional to 562,588.47, 776,376.92 and 320,883.28 is: 442,821.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,588.47 : 776,376.92 = 320,883.28 : x
  2. Step 2: Convert to fraction form
    562,588.47/776,376.92 = 320,883.28/x
  3. Step 3: Cross multiply
    562,588.47x = 776,376.92 × 320,883.28
  4. Step 4: Simplify right side
    562,588.47x = 249,126,372,605.90
  5. Step 5: Solve for x
    x = 249,126,372,605.90/562,588.47
  6. Step 6: Final answer
    x = 442,821.68

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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.