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Finding the Fourth Proportional to 339,374.40, 509,061.60 and 286,886.40

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Solution

The fourth proportional to 339,374.40, 509,061.60 and 286,886.40 is: 430,329.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,374.40 : 509,061.60 = 286,886.40 : x
  2. Step 2: Convert to fraction form
    339,374.40/509,061.60 = 286,886.40/x
  3. Step 3: Cross multiply
    339,374.40x = 509,061.60 × 286,886.40
  4. Step 4: Simplify right side
    339,374.40x = 146,042,849,802.24
  5. Step 5: Solve for x
    x = 146,042,849,802.24/339,374.40
  6. Step 6: Final answer
    x = 430,329.60

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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.