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Finding the Fourth Proportional to 466,362.12, 698,095.10 and 252,599.08

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Solution

The fourth proportional to 466,362.12, 698,095.10 and 252,599.08 is: 378,114.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,362.12 : 698,095.10 = 252,599.08 : x
  2. Step 2: Convert to fraction form
    466,362.12/698,095.10 = 252,599.08/x
  3. Step 3: Cross multiply
    466,362.12x = 698,095.10 × 252,599.08
  4. Step 4: Simplify right side
    466,362.12x = 176,338,180,012.51
  5. Step 5: Solve for x
    x = 176,338,180,012.51/466,362.12
  6. Step 6: Final answer
    x = 378,114.29

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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.