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Finding the Fourth Proportional to 463,946.40, 651,391.20 and 463,946.40

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Solution

The fourth proportional to 463,946.40, 651,391.20 and 463,946.40 is: 651,391.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,946.40 : 651,391.20 = 463,946.40 : x
  2. Step 2: Convert to fraction form
    463,946.40/651,391.20 = 463,946.40/x
  3. Step 3: Cross multiply
    463,946.40x = 651,391.20 × 463,946.40
  4. Step 4: Simplify right side
    463,946.40x = 302,210,602,231.68
  5. Step 5: Solve for x
    x = 302,210,602,231.68/463,946.40
  6. Step 6: Final answer
    x = 651,391.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.