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Finding the Fourth Proportional to 564,851.20, 847,276.80 and 190,868.80

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Solution

The fourth proportional to 564,851.20, 847,276.80 and 190,868.80 is: 286,303.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,851.20 : 847,276.80 = 190,868.80 : x
  2. Step 2: Convert to fraction form
    564,851.20/847,276.80 = 190,868.80/x
  3. Step 3: Cross multiply
    564,851.20x = 847,276.80 × 190,868.80
  4. Step 4: Simplify right side
    564,851.20x = 161,718,706,083.84
  5. Step 5: Solve for x
    x = 161,718,706,083.84/564,851.20
  6. Step 6: Final answer
    x = 286,303.20

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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.