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Finding the Fourth Proportional to 463,014.78, 697,992.50 and 432,152.43

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Solution

The fourth proportional to 463,014.78, 697,992.50 and 432,152.43 is: 651,467.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,014.78 : 697,992.50 = 432,152.43 : x
  2. Step 2: Convert to fraction form
    463,014.78/697,992.50 = 432,152.43/x
  3. Step 3: Cross multiply
    463,014.78x = 697,992.50 × 432,152.43
  4. Step 4: Simplify right side
    463,014.78x = 301,639,154,996.78
  5. Step 5: Solve for x
    x = 301,639,154,996.78/463,014.78
  6. Step 6: Final answer
    x = 651,467.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.