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Finding the Fourth Proportional to 474,428.10, 654,712.37 and 259,567.50

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Solution

The fourth proportional to 474,428.10, 654,712.37 and 259,567.50 is: 358,204.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,428.10 : 654,712.37 = 259,567.50 : x
  2. Step 2: Convert to fraction form
    474,428.10/654,712.37 = 259,567.50/x
  3. Step 3: Cross multiply
    474,428.10x = 654,712.37 × 259,567.50
  4. Step 4: Simplify right side
    474,428.10x = 169,942,051,802.14
  5. Step 5: Solve for x
    x = 169,942,051,802.14/474,428.10
  6. Step 6: Final answer
    x = 358,204.02

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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.