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Finding the Fourth Proportional to 589,792.32, 814,018.08 and 348,057.60

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Solution

The fourth proportional to 589,792.32, 814,018.08 and 348,057.60 is: 480,381.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,792.32 : 814,018.08 = 348,057.60 : x
  2. Step 2: Convert to fraction form
    589,792.32/814,018.08 = 348,057.60/x
  3. Step 3: Cross multiply
    589,792.32x = 814,018.08 × 348,057.60
  4. Step 4: Simplify right side
    589,792.32x = 283,325,179,281.41
  5. Step 5: Solve for x
    x = 283,325,179,281.41/589,792.32
  6. Step 6: Final answer
    x = 480,381.26

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Why These Related Problems?

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