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Finding the Fourth Proportional to 696,927.12, 962,053.02 and 470,878.80

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Solution

The fourth proportional to 696,927.12, 962,053.02 and 470,878.80 is: 650,011.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,927.12 : 962,053.02 = 470,878.80 : x
  2. Step 2: Convert to fraction form
    696,927.12/962,053.02 = 470,878.80/x
  3. Step 3: Cross multiply
    696,927.12x = 962,053.02 × 470,878.80
  4. Step 4: Simplify right side
    696,927.12x = 453,010,371,593.98
  5. Step 5: Solve for x
    x = 453,010,371,593.98/696,927.12
  6. Step 6: Final answer
    x = 650,011.11

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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.