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Finding the Fourth Proportional to 469,894.84, 648,461.10 and 255,037.48

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Solution

The fourth proportional to 469,894.84, 648,461.10 and 255,037.48 is: 351,955.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,894.84 : 648,461.10 = 255,037.48 : x
  2. Step 2: Convert to fraction form
    469,894.84/648,461.10 = 255,037.48/x
  3. Step 3: Cross multiply
    469,894.84x = 648,461.10 × 255,037.48
  4. Step 4: Simplify right side
    469,894.84x = 165,381,884,822.03
  5. Step 5: Solve for x
    x = 165,381,884,822.03/469,894.84
  6. Step 6: Final answer
    x = 351,955.10

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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.