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Finding the Fourth Proportional to 346,645.40, 520,065.30 and 147,061.40

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Solution

The fourth proportional to 346,645.40, 520,065.30 and 147,061.40 is: 220,633.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,645.40 : 520,065.30 = 147,061.40 : x
  2. Step 2: Convert to fraction form
    346,645.40/520,065.30 = 147,061.40/x
  3. Step 3: Cross multiply
    346,645.40x = 520,065.30 × 147,061.40
  4. Step 4: Simplify right side
    346,645.40x = 76,481,531,109.42
  5. Step 5: Solve for x
    x = 76,481,531,109.42/346,645.40
  6. Step 6: Final answer
    x = 220,633.34

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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.