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Finding the Fourth Proportional to 474,503.43, 654,814.71 and 259,643.51

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Solution

The fourth proportional to 474,503.43, 654,814.71 and 259,643.51 is: 358,308.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,503.43 : 654,814.71 = 259,643.51 : x
  2. Step 2: Convert to fraction form
    474,503.43/654,814.71 = 259,643.51/x
  3. Step 3: Cross multiply
    474,503.43x = 654,814.71 × 259,643.51
  4. Step 4: Simplify right side
    474,503.43x = 170,018,386,429.96
  5. Step 5: Solve for x
    x = 170,018,386,429.96/474,503.43
  6. Step 6: Final answer
    x = 358,308.02

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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.