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Finding the Fourth Proportional to 401,423.40, 601,624.80 and 164,498.40

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Solution

The fourth proportional to 401,423.40, 601,624.80 and 164,498.40 is: 246,538.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,423.40 : 601,624.80 = 164,498.40 : x
  2. Step 2: Convert to fraction form
    401,423.40/601,624.80 = 164,498.40/x
  3. Step 3: Cross multiply
    401,423.40x = 601,624.80 × 164,498.40
  4. Step 4: Simplify right side
    401,423.40x = 98,966,317,000.32
  5. Step 5: Solve for x
    x = 98,966,317,000.32/401,423.40
  6. Step 6: Final answer
    x = 246,538.49

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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.