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Finding the Fourth Proportional to 538,251.84, 742,752 and 323,264.16

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Solution

The fourth proportional to 538,251.84, 742,752 and 323,264.16 is: 446,083.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,251.84 : 742,752 = 323,264.16 : x
  2. Step 2: Convert to fraction form
    538,251.84/742,752 = 323,264.16/x
  3. Step 3: Cross multiply
    538,251.84x = 742,752 × 323,264.16
  4. Step 4: Simplify right side
    538,251.84x = 240,105,101,368.32
  5. Step 5: Solve for x
    x = 240,105,101,368.32/538,251.84
  6. Step 6: Final answer
    x = 446,083.20

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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.