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Finding the Fourth Proportional to 469,592.19, 648,037.17 and 265,638.74

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Solution

The fourth proportional to 469,592.19, 648,037.17 and 265,638.74 is: 366,581.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,592.19 : 648,037.17 = 265,638.74 : x
  2. Step 2: Convert to fraction form
    469,592.19/648,037.17 = 265,638.74/x
  3. Step 3: Cross multiply
    469,592.19x = 648,037.17 × 265,638.74
  4. Step 4: Simplify right side
    469,592.19x = 172,143,774,071.78
  5. Step 5: Solve for x
    x = 172,143,774,071.78/469,592.19
  6. Step 6: Final answer
    x = 366,581.42

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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.