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Finding the Fourth Proportional to 469,643.76, 648,104.76 and 254,783.16

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Solution

The fourth proportional to 469,643.76, 648,104.76 and 254,783.16 is: 351,598.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,643.76 : 648,104.76 = 254,783.16 : x
  2. Step 2: Convert to fraction form
    469,643.76/648,104.76 = 254,783.16/x
  3. Step 3: Cross multiply
    469,643.76x = 648,104.76 × 254,783.16
  4. Step 4: Simplify right side
    469,643.76x = 165,126,178,763.84
  5. Step 5: Solve for x
    x = 165,126,178,763.84/469,643.76
  6. Step 6: Final answer
    x = 351,598.79

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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.