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Finding the Fourth Proportional to 375,734.40, 562,271.22 and 233,646.60

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Solution

The fourth proportional to 375,734.40, 562,271.22 and 233,646.60 is: 349,642.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,734.40 : 562,271.22 = 233,646.60 : x
  2. Step 2: Convert to fraction form
    375,734.40/562,271.22 = 233,646.60/x
  3. Step 3: Cross multiply
    375,734.40x = 562,271.22 × 233,646.60
  4. Step 4: Simplify right side
    375,734.40x = 131,372,758,830.85
  5. Step 5: Solve for x
    x = 131,372,758,830.85/375,734.40
  6. Step 6: Final answer
    x = 349,642.62

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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.