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Finding the Fourth Proportional to 852,628.84, 1,176,628.02 and 470,655.88

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Solution

The fourth proportional to 852,628.84, 1,176,628.02 and 470,655.88 is: 649,505.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,628.84 : 1,176,628.02 = 470,655.88 : x
  2. Step 2: Convert to fraction form
    852,628.84/1,176,628.02 = 470,655.88/x
  3. Step 3: Cross multiply
    852,628.84x = 1,176,628.02 × 470,655.88
  4. Step 4: Simplify right side
    852,628.84x = 553,786,896,185.76
  5. Step 5: Solve for x
    x = 553,786,896,185.76/852,628.84
  6. Step 6: Final answer
    x = 649,505.24

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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.