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Finding the Fourth Proportional to 564,831.20, 847,246.80 and 190,848.80

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Solution

The fourth proportional to 564,831.20, 847,246.80 and 190,848.80 is: 286,273.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,831.20 : 847,246.80 = 190,848.80 : x
  2. Step 2: Convert to fraction form
    564,831.20/847,246.80 = 190,848.80/x
  3. Step 3: Cross multiply
    564,831.20x = 847,246.80 × 190,848.80
  4. Step 4: Simplify right side
    564,831.20x = 161,696,035,083.84
  5. Step 5: Solve for x
    x = 161,696,035,083.84/564,831.20
  6. Step 6: Final answer
    x = 286,273.20

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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.