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Finding the Fourth Proportional to 532,521.84, 734,975.06 and 314,721.62

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Solution

The fourth proportional to 532,521.84, 734,975.06 and 314,721.62 is: 434,371.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,521.84 : 734,975.06 = 314,721.62 : x
  2. Step 2: Convert to fraction form
    532,521.84/734,975.06 = 314,721.62/x
  3. Step 3: Cross multiply
    532,521.84x = 734,975.06 × 314,721.62
  4. Step 4: Simplify right side
    532,521.84x = 231,312,536,294.31
  5. Step 5: Solve for x
    x = 231,312,536,294.31/532,521.84
  6. Step 6: Final answer
    x = 434,371.92

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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.