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Finding the Fourth Proportional to 684,802.80, 945,330.56 and 409,257.92

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Solution

The fourth proportional to 684,802.80, 945,330.56 and 409,257.92 is: 564,956.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,802.80 : 945,330.56 = 409,257.92 : x
  2. Step 2: Convert to fraction form
    684,802.80/945,330.56 = 409,257.92/x
  3. Step 3: Cross multiply
    684,802.80x = 945,330.56 × 409,257.92
  4. Step 4: Simplify right side
    684,802.80x = 386,884,018,698.04
  5. Step 5: Solve for x
    x = 386,884,018,698.04/684,802.80
  6. Step 6: Final answer
    x = 564,956.83

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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.