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Finding the Fourth Proportional to 972,978.21, 1,342,792.96 and 543,341.38

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Solution

The fourth proportional to 972,978.21, 1,342,792.96 and 543,341.38 is: 749,857.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,978.21 : 1,342,792.96 = 543,341.38 : x
  2. Step 2: Convert to fraction form
    972,978.21/1,342,792.96 = 543,341.38/x
  3. Step 3: Cross multiply
    972,978.21x = 1,342,792.96 × 543,341.38
  4. Step 4: Simplify right side
    972,978.21x = 729,594,975,225.35
  5. Step 5: Solve for x
    x = 729,594,975,225.35/972,978.21
  6. Step 6: Final answer
    x = 749,857.47

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Why These Related Problems?

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