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Finding the Fourth Proportional to 474,494.68, 654,802.65 and 259,634.74

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Solution

The fourth proportional to 474,494.68, 654,802.65 and 259,634.74 is: 358,295.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,494.68 : 654,802.65 = 259,634.74 : x
  2. Step 2: Convert to fraction form
    474,494.68/654,802.65 = 259,634.74/x
  3. Step 3: Cross multiply
    474,494.68x = 654,802.65 × 259,634.74
  4. Step 4: Simplify right side
    474,494.68x = 170,009,515,784.06
  5. Step 5: Solve for x
    x = 170,009,515,784.06/474,494.68
  6. Step 6: Final answer
    x = 358,295.94

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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.