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Finding the Fourth Proportional to 684,783.84, 945,304.39 and 409,238.93

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Solution

The fourth proportional to 684,783.84, 945,304.39 and 409,238.93 is: 564,930.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,783.84 : 945,304.39 = 409,238.93 : x
  2. Step 2: Convert to fraction form
    684,783.84/945,304.39 = 409,238.93/x
  3. Step 3: Cross multiply
    684,783.84x = 945,304.39 × 409,238.93
  4. Step 4: Simplify right side
    684,783.84x = 386,855,359,962.71
  5. Step 5: Solve for x
    x = 386,855,359,962.71/684,783.84
  6. Step 6: Final answer
    x = 564,930.62

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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.