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Finding the Fourth Proportional to 338,949.60, 508,437.60 and 102,292.32

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Solution

The fourth proportional to 338,949.60, 508,437.60 and 102,292.32 is: 153,442.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,949.60 : 508,437.60 = 102,292.32 : x
  2. Step 2: Convert to fraction form
    338,949.60/508,437.60 = 102,292.32/x
  3. Step 3: Cross multiply
    338,949.60x = 508,437.60 × 102,292.32
  4. Step 4: Simplify right side
    338,949.60x = 52,009,261,679.23
  5. Step 5: Solve for x
    x = 52,009,261,679.23/338,949.60
  6. Step 6: Final answer
    x = 153,442.46

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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.