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Finding the Fourth Proportional to 474,547.48, 654,854.52 and 259,696.60

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Solution

The fourth proportional to 474,547.48, 654,854.52 and 259,696.60 is: 358,369.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,547.48 : 654,854.52 = 259,696.60 : x
  2. Step 2: Convert to fraction form
    474,547.48/654,854.52 = 259,696.60/x
  3. Step 3: Cross multiply
    474,547.48x = 654,854.52 × 259,696.60
  4. Step 4: Simplify right side
    474,547.48x = 170,063,491,675.36
  5. Step 5: Solve for x
    x = 170,063,491,675.36/474,547.48
  6. Step 6: Final answer
    x = 358,369.81

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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.