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Finding the Fourth Proportional to 474,678.10, 655,030.42 and 259,776.60

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Solution

The fourth proportional to 474,678.10, 655,030.42 and 259,776.60 is: 358,477.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,678.10 : 655,030.42 = 259,776.60 : x
  2. Step 2: Convert to fraction form
    474,678.10/655,030.42 = 259,776.60/x
  3. Step 3: Cross multiply
    474,678.10x = 655,030.42 × 259,776.60
  4. Step 4: Simplify right side
    474,678.10x = 170,161,575,404.17
  5. Step 5: Solve for x
    x = 170,161,575,404.17/474,678.10
  6. Step 6: Final answer
    x = 358,477.83

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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.