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Finding the Fourth Proportional to 474,830.64, 655,241.40 and 259,929.54

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Solution

The fourth proportional to 474,830.64, 655,241.40 and 259,929.54 is: 358,689.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,830.64 : 655,241.40 = 259,929.54 : x
  2. Step 2: Convert to fraction form
    474,830.64/655,241.40 = 259,929.54/x
  3. Step 3: Cross multiply
    474,830.64x = 655,241.40 × 259,929.54
  4. Step 4: Simplify right side
    474,830.64x = 170,316,595,690.96
  5. Step 5: Solve for x
    x = 170,316,595,690.96/474,830.64
  6. Step 6: Final answer
    x = 358,689.14

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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.