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Finding the Fourth Proportional to 342,176.40, 512,681.40 and 292,021.20

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Solution

The fourth proportional to 342,176.40, 512,681.40 and 292,021.20 is: 437,534.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,176.40 : 512,681.40 = 292,021.20 : x
  2. Step 2: Convert to fraction form
    342,176.40/512,681.40 = 292,021.20/x
  3. Step 3: Cross multiply
    342,176.40x = 512,681.40 × 292,021.20
  4. Step 4: Simplify right side
    342,176.40x = 149,713,837,645.68
  5. Step 5: Solve for x
    x = 149,713,837,645.68/342,176.40
  6. Step 6: Final answer
    x = 437,534.08

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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.