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Finding the Fourth Proportional to 464,351.40, 696,411.74 and 262,036.33

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Solution

The fourth proportional to 464,351.40, 696,411.74 and 262,036.33 is: 392,989.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,351.40 : 696,411.74 = 262,036.33 : x
  2. Step 2: Convert to fraction form
    464,351.40/696,411.74 = 262,036.33/x
  3. Step 3: Cross multiply
    464,351.40x = 696,411.74 × 262,036.33
  4. Step 4: Simplify right side
    464,351.40x = 182,485,176,518.51
  5. Step 5: Solve for x
    x = 182,485,176,518.51/464,351.40
  6. Step 6: Final answer
    x = 392,989.40

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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.