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Finding the Fourth Proportional to 564,240.36, 846,506.34 and 209,355.60

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Solution

The fourth proportional to 564,240.36, 846,506.34 and 209,355.60 is: 314,087.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,240.36 : 846,506.34 = 209,355.60 : x
  2. Step 2: Convert to fraction form
    564,240.36/846,506.34 = 209,355.60/x
  3. Step 3: Cross multiply
    564,240.36x = 846,506.34 × 209,355.60
  4. Step 4: Simplify right side
    564,240.36x = 177,220,842,714.50
  5. Step 5: Solve for x
    x = 177,220,842,714.50/564,240.36
  6. Step 6: Final answer
    x = 314,087.50

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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.