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Finding the Fourth Proportional to 346,638.40, 520,054.80 and 147,054.40

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Solution

The fourth proportional to 346,638.40, 520,054.80 and 147,054.40 is: 220,622.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,638.40 : 520,054.80 = 147,054.40 : x
  2. Step 2: Convert to fraction form
    346,638.40/520,054.80 = 147,054.40/x
  3. Step 3: Cross multiply
    346,638.40x = 520,054.80 × 147,054.40
  4. Step 4: Simplify right side
    346,638.40x = 76,476,346,581.12
  5. Step 5: Solve for x
    x = 76,476,346,581.12/346,638.40
  6. Step 6: Final answer
    x = 220,622.84

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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.