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Finding the Fourth Proportional to 346,713.90, 520,070.85 and 197,414.70

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Solution

The fourth proportional to 346,713.90, 520,070.85 and 197,414.70 is: 296,122.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,713.90 : 520,070.85 = 197,414.70 : x
  2. Step 2: Convert to fraction form
    346,713.90/520,070.85 = 197,414.70/x
  3. Step 3: Cross multiply
    346,713.90x = 520,070.85 × 197,414.70
  4. Step 4: Simplify right side
    346,713.90x = 102,669,630,831.50
  5. Step 5: Solve for x
    x = 102,669,630,831.50/346,713.90
  6. Step 6: Final answer
    x = 296,122.05

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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.