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Finding the Fourth Proportional to 562,254.88, 775,104.65 and 400,829.68

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Solution

The fourth proportional to 562,254.88, 775,104.65 and 400,829.68 is: 552,569.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,254.88 : 775,104.65 = 400,829.68 : x
  2. Step 2: Convert to fraction form
    562,254.88/775,104.65 = 400,829.68/x
  3. Step 3: Cross multiply
    562,254.88x = 775,104.65 × 400,829.68
  4. Step 4: Simplify right side
    562,254.88x = 310,684,944,933.89
  5. Step 5: Solve for x
    x = 310,684,944,933.89/562,254.88
  6. Step 6: Final answer
    x = 552,569.58

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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.