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Finding the Fourth Proportional to 658,830.96, 909,162.30 and 357,018.48

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Solution

The fourth proportional to 658,830.96, 909,162.30 and 357,018.48 is: 492,672.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,830.96 : 909,162.30 = 357,018.48 : x
  2. Step 2: Convert to fraction form
    658,830.96/909,162.30 = 357,018.48/x
  3. Step 3: Cross multiply
    658,830.96x = 909,162.30 × 357,018.48
  4. Step 4: Simplify right side
    658,830.96x = 324,587,742,419.30
  5. Step 5: Solve for x
    x = 324,587,742,419.30/658,830.96
  6. Step 6: Final answer
    x = 492,672.27

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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.