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Finding the Fourth Proportional to 730,052, 1,007,461.28 and 407,766.80

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Solution

The fourth proportional to 730,052, 1,007,461.28 and 407,766.80 is: 562,712.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,052 : 1,007,461.28 = 407,766.80 : x
  2. Step 2: Convert to fraction form
    730,052/1,007,461.28 = 407,766.80/x
  3. Step 3: Cross multiply
    730,052x = 1,007,461.28 × 407,766.80
  4. Step 4: Simplify right side
    730,052x = 410,809,262,269.50
  5. Step 5: Solve for x
    x = 410,809,262,269.50/730,052
  6. Step 6: Final answer
    x = 562,712.33

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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.