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Finding the Fourth Proportional to 1,046,493.80, 1,569,740.70 and 971,844.20

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Solution

The fourth proportional to 1,046,493.80, 1,569,740.70 and 971,844.20 is: 1,457,766.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046,493.80 : 1,569,740.70 = 971,844.20 : x
  2. Step 2: Convert to fraction form
    1,046,493.80/1,569,740.70 = 971,844.20/x
  3. Step 3: Cross multiply
    1,046,493.80x = 1,569,740.70 × 971,844.20
  4. Step 4: Simplify right side
    1,046,493.80x = 1,525,543,394,798.94
  5. Step 5: Solve for x
    x = 1,525,543,394,798.94/1,046,493.80
  6. Step 6: Final answer
    x = 1,457,766.30

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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.