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Finding the Fourth Proportional to 514,823.72, 710,456.90 and 313,619.72

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Solution

The fourth proportional to 514,823.72, 710,456.90 and 313,619.72 is: 432,795.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,823.72 : 710,456.90 = 313,619.72 : x
  2. Step 2: Convert to fraction form
    514,823.72/710,456.90 = 313,619.72/x
  3. Step 3: Cross multiply
    514,823.72x = 710,456.90 × 313,619.72
  4. Step 4: Simplify right side
    514,823.72x = 222,813,294,050.07
  5. Step 5: Solve for x
    x = 222,813,294,050.07/514,823.72
  6. Step 6: Final answer
    x = 432,795.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.