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Finding the Fourth Proportional to 474,403.71, 654,684.50 and 259,547.37

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Solution

The fourth proportional to 474,403.71, 654,684.50 and 259,547.37 is: 358,179.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,403.71 : 654,684.50 = 259,547.37 : x
  2. Step 2: Convert to fraction form
    474,403.71/654,684.50 = 259,547.37/x
  3. Step 3: Cross multiply
    474,403.71x = 654,684.50 × 259,547.37
  4. Step 4: Simplify right side
    474,403.71x = 169,921,640,154.77
  5. Step 5: Solve for x
    x = 169,921,640,154.77/474,403.71
  6. Step 6: Final answer
    x = 358,179.41

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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.