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Finding the Fourth Proportional to 852,698.82, 1,176,728.13 and 470,728.74

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Solution

The fourth proportional to 852,698.82, 1,176,728.13 and 470,728.74 is: 649,607.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,698.82 : 1,176,728.13 = 470,728.74 : x
  2. Step 2: Convert to fraction form
    852,698.82/1,176,728.13 = 470,728.74/x
  3. Step 3: Cross multiply
    852,698.82x = 1,176,728.13 × 470,728.74
  4. Step 4: Simplify right side
    852,698.82x = 553,919,749,957.46
  5. Step 5: Solve for x
    x = 553,919,749,957.46/852,698.82
  6. Step 6: Final answer
    x = 649,607.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.