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Finding the Fourth Proportional to 411,312.60, 616,094.10 and 341,328.60

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Solution

The fourth proportional to 411,312.60, 616,094.10 and 341,328.60 is: 511,266.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,312.60 : 616,094.10 = 341,328.60 : x
  2. Step 2: Convert to fraction form
    411,312.60/616,094.10 = 341,328.60/x
  3. Step 3: Cross multiply
    411,312.60x = 616,094.10 × 341,328.60
  4. Step 4: Simplify right side
    411,312.60x = 210,290,536,621.26
  5. Step 5: Solve for x
    x = 210,290,536,621.26/411,312.60
  6. Step 6: Final answer
    x = 511,266.95

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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.