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Finding the Fourth Proportional to 586,280, 879,195.82 and 319,898.12

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Solution

The fourth proportional to 586,280, 879,195.82 and 319,898.12 is: 479,724.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,280 : 879,195.82 = 319,898.12 : x
  2. Step 2: Convert to fraction form
    586,280/879,195.82 = 319,898.12/x
  3. Step 3: Cross multiply
    586,280x = 879,195.82 × 319,898.12
  4. Step 4: Simplify right side
    586,280x = 281,253,089,929.86
  5. Step 5: Solve for x
    x = 281,253,089,929.86/586,280
  6. Step 6: Final answer
    x = 479,724.86

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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.