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Finding the Fourth Proportional to 514,378.86, 709,848.54 and 284,939.68

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Solution

The fourth proportional to 514,378.86, 709,848.54 and 284,939.68 is: 393,219.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,378.86 : 709,848.54 = 284,939.68 : x
  2. Step 2: Convert to fraction form
    514,378.86/709,848.54 = 284,939.68/x
  3. Step 3: Cross multiply
    514,378.86x = 709,848.54 × 284,939.68
  4. Step 4: Simplify right side
    514,378.86x = 202,264,014,061.45
  5. Step 5: Solve for x
    x = 202,264,014,061.45/514,378.86
  6. Step 6: Final answer
    x = 393,219.92

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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.