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Finding the Fourth Proportional to 553,141.80, 828,837.90 and 411,424.20

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Solution

The fourth proportional to 553,141.80, 828,837.90 and 411,424.20 is: 616,485.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,141.80 : 828,837.90 = 411,424.20 : x
  2. Step 2: Convert to fraction form
    553,141.80/828,837.90 = 411,424.20/x
  3. Step 3: Cross multiply
    553,141.80x = 828,837.90 × 411,424.20
  4. Step 4: Simplify right side
    553,141.80x = 341,003,969,937.18
  5. Step 5: Solve for x
    x = 341,003,969,937.18/553,141.80
  6. Step 6: Final answer
    x = 616,485.63

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Double scale
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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.