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Finding the Fourth Proportional to 514,740.24, 710,361 and 288,378

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Solution

The fourth proportional to 514,740.24, 710,361 and 288,378 is: 397,972.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,740.24 : 710,361 = 288,378 : x
  2. Step 2: Convert to fraction form
    514,740.24/710,361 = 288,378/x
  3. Step 3: Cross multiply
    514,740.24x = 710,361 × 288,378
  4. Step 4: Simplify right side
    514,740.24x = 204,852,484,458
  5. Step 5: Solve for x
    x = 204,852,484,458/514,740.24
  6. Step 6: Final answer
    x = 397,972.55

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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.