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Finding the Fourth Proportional to 684,783.53, 945,303.96 and 409,238.62

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Solution

The fourth proportional to 684,783.53, 945,303.96 and 409,238.62 is: 564,930.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,783.53 : 945,303.96 = 409,238.62 : x
  2. Step 2: Convert to fraction form
    684,783.53/945,303.96 = 409,238.62/x
  3. Step 3: Cross multiply
    684,783.53x = 945,303.96 × 409,238.62
  4. Step 4: Simplify right side
    684,783.53x = 386,854,888,070.94
  5. Step 5: Solve for x
    x = 386,854,888,070.94/684,783.53
  6. Step 6: Final answer
    x = 564,930.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.