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Finding the Fourth Proportional to 696,956.94, 962,094.78 and 470,908.62

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Solution

The fourth proportional to 696,956.94, 962,094.78 and 470,908.62 is: 650,052.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,956.94 : 962,094.78 = 470,908.62 : x
  2. Step 2: Convert to fraction form
    696,956.94/962,094.78 = 470,908.62/x
  3. Step 3: Cross multiply
    696,956.94x = 962,094.78 × 470,908.62
  4. Step 4: Simplify right side
    696,956.94x = 453,058,725,159.00
  5. Step 5: Solve for x
    x = 453,058,725,159.00/696,956.94
  6. Step 6: Final answer
    x = 650,052.68

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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.