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Finding the Fourth Proportional to 601,202, 901,941.24 and 207,218

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Solution

The fourth proportional to 601,202, 901,941.24 and 207,218 is: 310,874.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,202 : 901,941.24 = 207,218 : x
  2. Step 2: Convert to fraction form
    601,202/901,941.24 = 207,218/x
  3. Step 3: Cross multiply
    601,202x = 901,941.24 × 207,218
  4. Step 4: Simplify right side
    601,202x = 186,898,459,870.32
  5. Step 5: Solve for x
    x = 186,898,459,870.32/601,202
  6. Step 6: Final answer
    x = 310,874.65

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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.