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Finding the Fourth Proportional to 852,698.57, 1,176,727.79 and 470,728.49

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Solution

The fourth proportional to 852,698.57, 1,176,727.79 and 470,728.49 is: 649,607.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,698.57 : 1,176,727.79 = 470,728.49 : x
  2. Step 2: Convert to fraction form
    852,698.57/1,176,727.79 = 470,728.49/x
  3. Step 3: Cross multiply
    852,698.57x = 1,176,727.79 × 470,728.49
  4. Step 4: Simplify right side
    852,698.57x = 553,919,293,374.10
  5. Step 5: Solve for x
    x = 553,919,293,374.10/852,698.57
  6. Step 6: Final answer
    x = 649,607.39

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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.