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Finding the Fourth Proportional to 474,547.30, 654,875.26 and 259,687.44

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Solution

The fourth proportional to 474,547.30, 654,875.26 and 259,687.44 is: 358,368.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,547.30 : 654,875.26 = 259,687.44 : x
  2. Step 2: Convert to fraction form
    474,547.30/654,875.26 = 259,687.44/x
  3. Step 3: Cross multiply
    474,547.30x = 654,875.26 × 259,687.44
  4. Step 4: Simplify right side
    474,547.30x = 170,062,879,788.73
  5. Step 5: Solve for x
    x = 170,062,879,788.73/474,547.30
  6. Step 6: Final answer
    x = 358,368.66

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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.