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Finding the Fourth Proportional to 402,451.70, 603,677.55 and 302,068.40

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Solution

The fourth proportional to 402,451.70, 603,677.55 and 302,068.40 is: 453,102.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,451.70 : 603,677.55 = 302,068.40 : x
  2. Step 2: Convert to fraction form
    402,451.70/603,677.55 = 302,068.40/x
  3. Step 3: Cross multiply
    402,451.70x = 603,677.55 × 302,068.40
  4. Step 4: Simplify right side
    402,451.70x = 182,351,911,644.42
  5. Step 5: Solve for x
    x = 182,351,911,644.42/402,451.70
  6. Step 6: Final answer
    x = 453,102.60

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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.