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Finding the Fourth Proportional to 350,999.40, 524,963.10 and 313,828.20

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Solution

The fourth proportional to 350,999.40, 524,963.10 and 313,828.20 is: 469,368.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,999.40 : 524,963.10 = 313,828.20 : x
  2. Step 2: Convert to fraction form
    350,999.40/524,963.10 = 313,828.20/x
  3. Step 3: Cross multiply
    350,999.40x = 524,963.10 × 313,828.20
  4. Step 4: Simplify right side
    350,999.40x = 164,748,224,739.42
  5. Step 5: Solve for x
    x = 164,748,224,739.42/350,999.40
  6. Step 6: Final answer
    x = 469,368.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.