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Finding the Fourth Proportional to 600,756, 900,434.16 and 334,389.12

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Solution

The fourth proportional to 600,756, 900,434.16 and 334,389.12 is: 501,194.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,756 : 900,434.16 = 334,389.12 : x
  2. Step 2: Convert to fraction form
    600,756/900,434.16 = 334,389.12/x
  3. Step 3: Cross multiply
    600,756x = 900,434.16 × 334,389.12
  4. Step 4: Simplify right side
    600,756x = 301,095,386,380.34
  5. Step 5: Solve for x
    x = 301,095,386,380.34/600,756
  6. Step 6: Final answer
    x = 501,194.14

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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.