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Finding the Fourth Proportional to 314,681.88, 472,170.46 and 156,922.64

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Solution

The fourth proportional to 314,681.88, 472,170.46 and 156,922.64 is: 235,457.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,681.88 : 472,170.46 = 156,922.64 : x
  2. Step 2: Convert to fraction form
    314,681.88/472,170.46 = 156,922.64/x
  3. Step 3: Cross multiply
    314,681.88x = 472,170.46 × 156,922.64
  4. Step 4: Simplify right side
    314,681.88x = 74,094,235,113.21
  5. Step 5: Solve for x
    x = 74,094,235,113.21/314,681.88
  6. Step 6: Final answer
    x = 235,457.58

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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.