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Finding the Fourth Proportional to 346,729.40, 520,094.10 and 160,105.40

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Solution

The fourth proportional to 346,729.40, 520,094.10 and 160,105.40 is: 240,158.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,729.40 : 520,094.10 = 160,105.40 : x
  2. Step 2: Convert to fraction form
    346,729.40/520,094.10 = 160,105.40/x
  3. Step 3: Cross multiply
    346,729.40x = 520,094.10 × 160,105.40
  4. Step 4: Simplify right side
    346,729.40x = 83,269,873,918.14
  5. Step 5: Solve for x
    x = 83,269,873,918.14/346,729.40
  6. Step 6: Final answer
    x = 240,158.10

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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.