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Finding the Fourth Proportional to 301,031.40, 415,428 and 165,077.76

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Solution

The fourth proportional to 301,031.40, 415,428 and 165,077.76 is: 227,809.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,031.40 : 415,428 = 165,077.76 : x
  2. Step 2: Convert to fraction form
    301,031.40/415,428 = 165,077.76/x
  3. Step 3: Cross multiply
    301,031.40x = 415,428 × 165,077.76
  4. Step 4: Simplify right side
    301,031.40x = 68,577,923,681.28
  5. Step 5: Solve for x
    x = 68,577,923,681.28/301,031.40
  6. Step 6: Final answer
    x = 227,809.87

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