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Finding the Fourth Proportional to 411,041.40, 616,416.30 and 144,810.60

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Solution

The fourth proportional to 411,041.40, 616,416.30 and 144,810.60 is: 217,164.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,041.40 : 616,416.30 = 144,810.60 : x
  2. Step 2: Convert to fraction form
    411,041.40/616,416.30 = 144,810.60/x
  3. Step 3: Cross multiply
    411,041.40x = 616,416.30 × 144,810.60
  4. Step 4: Simplify right side
    411,041.40x = 89,263,614,252.78
  5. Step 5: Solve for x
    x = 89,263,614,252.78/411,041.40
  6. Step 6: Final answer
    x = 217,164.53

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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.