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Finding the Fourth Proportional to 346,565.10, 520,020.45 and 196,920.30

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Solution

The fourth proportional to 346,565.10, 520,020.45 and 196,920.30 is: 295,478.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,565.10 : 520,020.45 = 196,920.30 : x
  2. Step 2: Convert to fraction form
    346,565.10/520,020.45 = 196,920.30/x
  3. Step 3: Cross multiply
    346,565.10x = 520,020.45 × 196,920.30
  4. Step 4: Simplify right side
    346,565.10x = 102,402,583,020.14
  5. Step 5: Solve for x
    x = 102,402,583,020.14/346,565.10
  6. Step 6: Final answer
    x = 295,478.64

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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.