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Finding the Fourth Proportional to 458,152.67, 632,622.15 and 286,270.88

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Solution

The fourth proportional to 458,152.67, 632,622.15 and 286,270.88 is: 395,285.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,152.67 : 632,622.15 = 286,270.88 : x
  2. Step 2: Convert to fraction form
    458,152.67/632,622.15 = 286,270.88/x
  3. Step 3: Cross multiply
    458,152.67x = 632,622.15 × 286,270.88
  4. Step 4: Simplify right side
    458,152.67x = 181,101,296,424.88
  5. Step 5: Solve for x
    x = 181,101,296,424.88/458,152.67
  6. Step 6: Final answer
    x = 395,285.91

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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.