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Finding the Fourth Proportional to 784,632.80, 1,082,783.04 and 462,356.48

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Solution

The fourth proportional to 784,632.80, 1,082,783.04 and 462,356.48 is: 638,045.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,632.80 : 1,082,783.04 = 462,356.48 : x
  2. Step 2: Convert to fraction form
    784,632.80/1,082,783.04 = 462,356.48/x
  3. Step 3: Cross multiply
    784,632.80x = 1,082,783.04 × 462,356.48
  4. Step 4: Simplify right side
    784,632.80x = 500,631,754,978.10
  5. Step 5: Solve for x
    x = 500,631,754,978.10/784,632.80
  6. Step 6: Final answer
    x = 638,045.92

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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.