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Finding the Fourth Proportional to 402,416.70, 603,697.95 and 202,233.30

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Solution

The fourth proportional to 402,416.70, 603,697.95 and 202,233.30 is: 303,386.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,416.70 : 603,697.95 = 202,233.30 : x
  2. Step 2: Convert to fraction form
    402,416.70/603,697.95 = 202,233.30/x
  3. Step 3: Cross multiply
    402,416.70x = 603,697.95 × 202,233.30
  4. Step 4: Simplify right side
    402,416.70x = 122,087,828,631.74
  5. Step 5: Solve for x
    x = 122,087,828,631.74/402,416.70
  6. Step 6: Final answer
    x = 303,386.59

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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.