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Finding the Fourth Proportional to 433,646.96, 650,308.80 and 149,258.12

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Solution

The fourth proportional to 433,646.96, 650,308.80 and 149,258.12 is: 223,831.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,646.96 : 650,308.80 = 149,258.12 : x
  2. Step 2: Convert to fraction form
    433,646.96/650,308.80 = 149,258.12/x
  3. Step 3: Cross multiply
    433,646.96x = 650,308.80 × 149,258.12
  4. Step 4: Simplify right side
    433,646.96x = 97,063,868,907.46
  5. Step 5: Solve for x
    x = 97,063,868,907.46/433,646.96
  6. Step 6: Final answer
    x = 223,831.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.