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Finding the Fourth Proportional to 464,298.10, 640,758.06 and 260,414.42

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Solution

The fourth proportional to 464,298.10, 640,758.06 and 260,414.42 is: 359,386.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,298.10 : 640,758.06 = 260,414.42 : x
  2. Step 2: Convert to fraction form
    464,298.10/640,758.06 = 260,414.42/x
  3. Step 3: Cross multiply
    464,298.10x = 640,758.06 × 260,414.42
  4. Step 4: Simplify right side
    464,298.10x = 166,862,638,555.23
  5. Step 5: Solve for x
    x = 166,862,638,555.23/464,298.10
  6. Step 6: Final answer
    x = 359,386.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.