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Finding the Fourth Proportional to 785,824.86, 1,178,728.65 and 470,369.82

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Solution

The fourth proportional to 785,824.86, 1,178,728.65 and 470,369.82 is: 705,549.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,824.86 : 1,178,728.65 = 470,369.82 : x
  2. Step 2: Convert to fraction form
    785,824.86/1,178,728.65 = 470,369.82/x
  3. Step 3: Cross multiply
    785,824.86x = 1,178,728.65 × 470,369.82
  4. Step 4: Simplify right side
    785,824.86x = 554,438,382,929.34
  5. Step 5: Solve for x
    x = 554,438,382,929.34/785,824.86
  6. Step 6: Final answer
    x = 705,549.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.