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Finding the Fourth Proportional to 509,030.52, 763,476.04 and 281,746.54

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Solution

The fourth proportional to 509,030.52, 763,476.04 and 281,746.54 is: 422,581.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,030.52 : 763,476.04 = 281,746.54 : x
  2. Step 2: Convert to fraction form
    509,030.52/763,476.04 = 281,746.54/x
  3. Step 3: Cross multiply
    509,030.52x = 763,476.04 × 281,746.54
  4. Step 4: Simplify right side
    509,030.52x = 215,106,732,642.90
  5. Step 5: Solve for x
    x = 215,106,732,642.90/509,030.52
  6. Step 6: Final answer
    x = 422,581.21

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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.