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Finding the Fourth Proportional to 357,742.40, 535,999.20 and 233,019.20

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Solution

The fourth proportional to 357,742.40, 535,999.20 and 233,019.20 is: 349,128.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,742.40 : 535,999.20 = 233,019.20 : x
  2. Step 2: Convert to fraction form
    357,742.40/535,999.20 = 233,019.20/x
  3. Step 3: Cross multiply
    357,742.40x = 535,999.20 × 233,019.20
  4. Step 4: Simplify right side
    357,742.40x = 124,898,104,784.64
  5. Step 5: Solve for x
    x = 124,898,104,784.64/357,742.40
  6. Step 6: Final answer
    x = 349,128.60

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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.