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Finding the Fourth Proportional to 346,913.40, 520,468.02 and 97,597.56

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Solution

The fourth proportional to 346,913.40, 520,468.02 and 97,597.56 is: 146,423.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,913.40 : 520,468.02 = 97,597.56 : x
  2. Step 2: Convert to fraction form
    346,913.40/520,468.02 = 97,597.56/x
  3. Step 3: Cross multiply
    346,913.40x = 520,468.02 × 97,597.56
  4. Step 4: Simplify right side
    346,913.40x = 50,796,408,810.03
  5. Step 5: Solve for x
    x = 50,796,408,810.03/346,913.40
  6. Step 6: Final answer
    x = 146,423.89

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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.