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Finding the Fourth Proportional to 464,680.32, 697,848 and 380,599.68

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Solution

The fourth proportional to 464,680.32, 697,848 and 380,599.68 is: 571,577.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,680.32 : 697,848 = 380,599.68 : x
  2. Step 2: Convert to fraction form
    464,680.32/697,848 = 380,599.68/x
  3. Step 3: Cross multiply
    464,680.32x = 697,848 × 380,599.68
  4. Step 4: Simplify right side
    464,680.32x = 265,600,725,488.64
  5. Step 5: Solve for x
    x = 265,600,725,488.64/464,680.32
  6. Step 6: Final answer
    x = 571,577.31

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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.