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Finding the Fourth Proportional to 315,443.36, 435,319.29 and 172,204.47

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Solution

The fourth proportional to 315,443.36, 435,319.29 and 172,204.47 is: 237,646.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,443.36 : 435,319.29 = 172,204.47 : x
  2. Step 2: Convert to fraction form
    315,443.36/435,319.29 = 172,204.47/x
  3. Step 3: Cross multiply
    315,443.36x = 435,319.29 × 172,204.47
  4. Step 4: Simplify right side
    315,443.36x = 74,963,927,615.23
  5. Step 5: Solve for x
    x = 74,963,927,615.23/315,443.36
  6. Step 6: Final answer
    x = 237,646.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.