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Finding the Fourth Proportional to 416,767.78, 574,928.13 and 263,547.78

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Solution

The fourth proportional to 416,767.78, 574,928.13 and 263,547.78 is: 363,562.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,767.78 : 574,928.13 = 263,547.78 : x
  2. Step 2: Convert to fraction form
    416,767.78/574,928.13 = 263,547.78/x
  3. Step 3: Cross multiply
    416,767.78x = 574,928.13 × 263,547.78
  4. Step 4: Simplify right side
    416,767.78x = 151,521,031,153.38
  5. Step 5: Solve for x
    x = 151,521,031,153.38/416,767.78
  6. Step 6: Final answer
    x = 363,562.25

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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.