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Finding the Fourth Proportional to 401,743.84, 602,615.76 and 152,425.84

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Solution

The fourth proportional to 401,743.84, 602,615.76 and 152,425.84 is: 228,638.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,743.84 : 602,615.76 = 152,425.84 : x
  2. Step 2: Convert to fraction form
    401,743.84/602,615.76 = 152,425.84/x
  3. Step 3: Cross multiply
    401,743.84x = 602,615.76 × 152,425.84
  4. Step 4: Simplify right side
    401,743.84x = 91,854,213,415.24
  5. Step 5: Solve for x
    x = 91,854,213,415.24/401,743.84
  6. Step 6: Final answer
    x = 228,638.76

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1.5x scale

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.