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Finding the Fourth Proportional to 375,411.52, 518,068.74 and 205,646.32

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Solution

The fourth proportional to 375,411.52, 518,068.74 and 205,646.32 is: 283,792.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,411.52 : 518,068.74 = 205,646.32 : x
  2. Step 2: Convert to fraction form
    375,411.52/518,068.74 = 205,646.32/x
  3. Step 3: Cross multiply
    375,411.52x = 518,068.74 × 205,646.32
  4. Step 4: Simplify right side
    375,411.52x = 106,538,929,888.04
  5. Step 5: Solve for x
    x = 106,538,929,888.04/375,411.52
  6. Step 6: Final answer
    x = 283,792.38

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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.