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Finding the Fourth Proportional to 360,547.82, 497,593.38 and 207,591.48

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Solution

The fourth proportional to 360,547.82, 497,593.38 and 207,591.48 is: 286,497.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,547.82 : 497,593.38 = 207,591.48 : x
  2. Step 2: Convert to fraction form
    360,547.82/497,593.38 = 207,591.48/x
  3. Step 3: Cross multiply
    360,547.82x = 497,593.38 × 207,591.48
  4. Step 4: Simplify right side
    360,547.82x = 103,296,146,192.40
  5. Step 5: Solve for x
    x = 103,296,146,192.40/360,547.82
  6. Step 6: Final answer
    x = 286,497.77

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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.