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Finding the Fourth Proportional to 285,074.79, 393,411.38 and 157,762.23

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Solution

The fourth proportional to 285,074.79, 393,411.38 and 157,762.23 is: 217,716.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,074.79 : 393,411.38 = 157,762.23 : x
  2. Step 2: Convert to fraction form
    285,074.79/393,411.38 = 157,762.23/x
  3. Step 3: Cross multiply
    285,074.79x = 393,411.38 × 157,762.23
  4. Step 4: Simplify right side
    285,074.79x = 62,065,455,827.37
  5. Step 5: Solve for x
    x = 62,065,455,827.37/285,074.79
  6. Step 6: Final answer
    x = 217,716.40

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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.