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Finding the Fourth Proportional to 468,389.04, 702,657 and 152,773.08

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Solution

The fourth proportional to 468,389.04, 702,657 and 152,773.08 is: 229,183.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,389.04 : 702,657 = 152,773.08 : x
  2. Step 2: Convert to fraction form
    468,389.04/702,657 = 152,773.08/x
  3. Step 3: Cross multiply
    468,389.04x = 702,657 × 152,773.08
  4. Step 4: Simplify right side
    468,389.04x = 107,347,074,073.56
  5. Step 5: Solve for x
    x = 107,347,074,073.56/468,389.04
  6. Step 6: Final answer
    x = 229,183.57

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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.