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Finding the Fourth Proportional to 468,417.40, 702,954.15 and 202,368.85

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Solution

The fourth proportional to 468,417.40, 702,954.15 and 202,368.85 is: 303,695.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,417.40 : 702,954.15 = 202,368.85 : x
  2. Step 2: Convert to fraction form
    468,417.40/702,954.15 = 202,368.85/x
  3. Step 3: Cross multiply
    468,417.40x = 702,954.15 × 202,368.85
  4. Step 4: Simplify right side
    468,417.40x = 142,256,022,938.23
  5. Step 5: Solve for x
    x = 142,256,022,938.23/468,417.40
  6. Step 6: Final answer
    x = 303,695.00

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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.