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Finding the Fourth Proportional to 495,880.84, 684,301.26 and 281,041.12

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Solution

The fourth proportional to 495,880.84, 684,301.26 and 281,041.12 is: 387,828.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,880.84 : 684,301.26 = 281,041.12 : x
  2. Step 2: Convert to fraction form
    495,880.84/684,301.26 = 281,041.12/x
  3. Step 3: Cross multiply
    495,880.84x = 684,301.26 × 281,041.12
  4. Step 4: Simplify right side
    495,880.84x = 192,316,792,527.81
  5. Step 5: Solve for x
    x = 192,316,792,527.81/495,880.84
  6. Step 6: Final answer
    x = 387,828.64

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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.