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Finding the Fourth Proportional to 401,742.84, 602,614.26 and 152,424.84

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Solution

The fourth proportional to 401,742.84, 602,614.26 and 152,424.84 is: 228,637.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,742.84 : 602,614.26 = 152,424.84 : x
  2. Step 2: Convert to fraction form
    401,742.84/602,614.26 = 152,424.84/x
  3. Step 3: Cross multiply
    401,742.84x = 602,614.26 × 152,424.84
  4. Step 4: Simplify right side
    401,742.84x = 91,853,382,162.22
  5. Step 5: Solve for x
    x = 91,853,382,162.22/401,742.84
  6. Step 6: Final answer
    x = 228,637.26

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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.