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Finding the Fourth Proportional to 684,905.20, 960,966.80 and 684,905.20

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Solution

The fourth proportional to 684,905.20, 960,966.80 and 684,905.20 is: 960,966.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,905.20 : 960,966.80 = 684,905.20 : x
  2. Step 2: Convert to fraction form
    684,905.20/960,966.80 = 684,905.20/x
  3. Step 3: Cross multiply
    684,905.20x = 960,966.80 × 684,905.20
  4. Step 4: Simplify right side
    684,905.20x = 658,171,158,347.36
  5. Step 5: Solve for x
    x = 658,171,158,347.36/684,905.20
  6. Step 6: Final answer
    x = 960,966.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.