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Finding the Fourth Proportional to 632,228.38, 872,482.05 and 345,742.31

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Solution

The fourth proportional to 632,228.38, 872,482.05 and 345,742.31 is: 477,128.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,228.38 : 872,482.05 = 345,742.31 : x
  2. Step 2: Convert to fraction form
    632,228.38/872,482.05 = 345,742.31/x
  3. Step 3: Cross multiply
    632,228.38x = 872,482.05 × 345,742.31
  4. Step 4: Simplify right side
    632,228.38x = 301,653,961,581.74
  5. Step 5: Solve for x
    x = 301,653,961,581.74/632,228.38
  6. Step 6: Final answer
    x = 477,128.16

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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.