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Finding the Fourth Proportional to 296,349.12, 409,028.40 and 188,897.76

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Solution

The fourth proportional to 296,349.12, 409,028.40 and 188,897.76 is: 260,721.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,349.12 : 409,028.40 = 188,897.76 : x
  2. Step 2: Convert to fraction form
    296,349.12/409,028.40 = 188,897.76/x
  3. Step 3: Cross multiply
    296,349.12x = 409,028.40 × 188,897.76
  4. Step 4: Simplify right side
    296,349.12x = 77,264,548,536.38
  5. Step 5: Solve for x
    x = 77,264,548,536.38/296,349.12
  6. Step 6: Final answer
    x = 260,721.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.