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Finding the Fourth Proportional to 401,555.52, 601,975.92 and 152,412.48

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Solution

The fourth proportional to 401,555.52, 601,975.92 and 152,412.48 is: 228,483.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,555.52 : 601,975.92 = 152,412.48 : x
  2. Step 2: Convert to fraction form
    401,555.52/601,975.92 = 152,412.48/x
  3. Step 3: Cross multiply
    401,555.52x = 601,975.92 × 152,412.48
  4. Step 4: Simplify right side
    401,555.52x = 91,748,642,867.48
  5. Step 5: Solve for x
    x = 91,748,642,867.48/401,555.52
  6. Step 6: Final answer
    x = 228,483.08

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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.