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Finding the Fourth Proportional to 663,787, 916,095.18 and 409,131.64

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Solution

The fourth proportional to 663,787, 916,095.18 and 409,131.64 is: 564,644.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,787 : 916,095.18 = 409,131.64 : x
  2. Step 2: Convert to fraction form
    663,787/916,095.18 = 409,131.64/x
  3. Step 3: Cross multiply
    663,787x = 916,095.18 × 409,131.64
  4. Step 4: Simplify right side
    663,787x = 374,803,523,389.50
  5. Step 5: Solve for x
    x = 374,803,523,389.50/663,787
  6. Step 6: Final answer
    x = 564,644.27

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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.