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Finding the Fourth Proportional to 411,341.72, 616,722.80 and 158,410.31

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Solution

The fourth proportional to 411,341.72, 616,722.80 and 158,410.31 is: 237,503.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,341.72 : 616,722.80 = 158,410.31 : x
  2. Step 2: Convert to fraction form
    411,341.72/616,722.80 = 158,410.31/x
  3. Step 3: Cross multiply
    411,341.72x = 616,722.80 × 158,410.31
  4. Step 4: Simplify right side
    411,341.72x = 97,695,246,056.40
  5. Step 5: Solve for x
    x = 97,695,246,056.40/411,341.72
  6. Step 6: Final answer
    x = 237,503.86

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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.