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Finding the Fourth Proportional to 376,804.40, 564,331.80 and 257,831.60

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Solution

The fourth proportional to 376,804.40, 564,331.80 and 257,831.60 is: 386,148.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,804.40 : 564,331.80 = 257,831.60 : x
  2. Step 2: Convert to fraction form
    376,804.40/564,331.80 = 257,831.60/x
  3. Step 3: Cross multiply
    376,804.40x = 564,331.80 × 257,831.60
  4. Step 4: Simplify right side
    376,804.40x = 145,502,570,924.88
  5. Step 5: Solve for x
    x = 145,502,570,924.88/376,804.40
  6. Step 6: Final answer
    x = 386,148.81

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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.