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Finding the Fourth Proportional to 313,005.42, 469,513.08 and 76,352.58

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Solution

The fourth proportional to 313,005.42, 469,513.08 and 76,352.58 is: 114,530.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,005.42 : 469,513.08 = 76,352.58 : x
  2. Step 2: Convert to fraction form
    313,005.42/469,513.08 = 76,352.58/x
  3. Step 3: Cross multiply
    313,005.42x = 469,513.08 × 76,352.58
  4. Step 4: Simplify right side
    313,005.42x = 35,848,535,001.75
  5. Step 5: Solve for x
    x = 35,848,535,001.75/313,005.42
  6. Step 6: Final answer
    x = 114,530.08

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1.5x scale

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.