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Finding the Fourth Proportional to 468,341.17, 646,326.49 and 287,018.08

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Solution

The fourth proportional to 468,341.17, 646,326.49 and 287,018.08 is: 396,094.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,341.17 : 646,326.49 = 287,018.08 : x
  2. Step 2: Convert to fraction form
    468,341.17/646,326.49 = 287,018.08/x
  3. Step 3: Cross multiply
    468,341.17x = 646,326.49 × 287,018.08
  4. Step 4: Simplify right side
    468,341.17x = 185,507,390,053.32
  5. Step 5: Solve for x
    x = 185,507,390,053.32/468,341.17
  6. Step 6: Final answer
    x = 396,094.56

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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.