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Finding the Fourth Proportional to 402,435.80, 603,653.70 and 356,946.20

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Solution

The fourth proportional to 402,435.80, 603,653.70 and 356,946.20 is: 535,419.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,435.80 : 603,653.70 = 356,946.20 : x
  2. Step 2: Convert to fraction form
    402,435.80/603,653.70 = 356,946.20/x
  3. Step 3: Cross multiply
    402,435.80x = 603,653.70 × 356,946.20
  4. Step 4: Simplify right side
    402,435.80x = 215,471,894,330.94
  5. Step 5: Solve for x
    x = 215,471,894,330.94/402,435.80
  6. Step 6: Final answer
    x = 535,419.30

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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.