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Finding the Fourth Proportional to 312,043.70, 468,526.35 and 242,002.10

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Solution

The fourth proportional to 312,043.70, 468,526.35 and 242,002.10 is: 363,360.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,043.70 : 468,526.35 = 242,002.10 : x
  2. Step 2: Convert to fraction form
    312,043.70/468,526.35 = 242,002.10/x
  3. Step 3: Cross multiply
    312,043.70x = 468,526.35 × 242,002.10
  4. Step 4: Simplify right side
    312,043.70x = 113,384,360,605.34
  5. Step 5: Solve for x
    x = 113,384,360,605.34/312,043.70
  6. Step 6: Final answer
    x = 363,360.52

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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.