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Finding the Fourth Proportional to 292,547.38, 403,744.02 and 177,815.98

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Solution

The fourth proportional to 292,547.38, 403,744.02 and 177,815.98 is: 245,403.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,547.38 : 403,744.02 = 177,815.98 : x
  2. Step 2: Convert to fraction form
    292,547.38/403,744.02 = 177,815.98/x
  3. Step 3: Cross multiply
    292,547.38x = 403,744.02 × 177,815.98
  4. Step 4: Simplify right side
    292,547.38x = 71,792,138,585.44
  5. Step 5: Solve for x
    x = 71,792,138,585.44/292,547.38
  6. Step 6: Final answer
    x = 245,403.46

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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.