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Finding the Fourth Proportional to 509,966.80, 763,913.40 and 260,789.20

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Solution

The fourth proportional to 509,966.80, 763,913.40 and 260,789.20 is: 390,653.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,966.80 : 763,913.40 = 260,789.20 : x
  2. Step 2: Convert to fraction form
    509,966.80/763,913.40 = 260,789.20/x
  3. Step 3: Cross multiply
    509,966.80x = 763,913.40 × 260,789.20
  4. Step 4: Simplify right side
    509,966.80x = 199,220,364,455.28
  5. Step 5: Solve for x
    x = 199,220,364,455.28/509,966.80
  6. Step 6: Final answer
    x = 390,653.60

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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.