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Finding the Fourth Proportional to 622,128.84, 933,210.28 and 172,851

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Solution

The fourth proportional to 622,128.84, 933,210.28 and 172,851 is: 259,281.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,128.84 : 933,210.28 = 172,851 : x
  2. Step 2: Convert to fraction form
    622,128.84/933,210.28 = 172,851/x
  3. Step 3: Cross multiply
    622,128.84x = 933,210.28 × 172,851
  4. Step 4: Simplify right side
    622,128.84x = 161,306,330,108.28
  5. Step 5: Solve for x
    x = 161,306,330,108.28/622,128.84
  6. Step 6: Final answer
    x = 259,281.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.