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Finding the Fourth Proportional to 820,969.32, 1,133,007.68 and 458,463.20

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Solution

The fourth proportional to 820,969.32, 1,133,007.68 and 458,463.20 is: 632,718.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,969.32 : 1,133,007.68 = 458,463.20 : x
  2. Step 2: Convert to fraction form
    820,969.32/1,133,007.68 = 458,463.20/x
  3. Step 3: Cross multiply
    820,969.32x = 1,133,007.68 × 458,463.20
  4. Step 4: Simplify right side
    820,969.32x = 519,442,326,597.38
  5. Step 5: Solve for x
    x = 519,442,326,597.38/820,969.32
  6. Step 6: Final answer
    x = 632,718.32

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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.