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Finding the Fourth Proportional to 495,212.80, 740,850.90 and 429,384.10

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Solution

The fourth proportional to 495,212.80, 740,850.90 and 429,384.10 is: 642,369.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,212.80 : 740,850.90 = 429,384.10 : x
  2. Step 2: Convert to fraction form
    495,212.80/740,850.90 = 429,384.10/x
  3. Step 3: Cross multiply
    495,212.80x = 740,850.90 × 429,384.10
  4. Step 4: Simplify right side
    495,212.80x = 318,109,596,930.69
  5. Step 5: Solve for x
    x = 318,109,596,930.69/495,212.80
  6. Step 6: Final answer
    x = 642,369.50

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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.