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Finding the Fourth Proportional to 442,420.92, 662,598.01 and 406,696.27

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Solution

The fourth proportional to 442,420.92, 662,598.01 and 406,696.27 is: 609,094.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,420.92 : 662,598.01 = 406,696.27 : x
  2. Step 2: Convert to fraction form
    442,420.92/662,598.01 = 406,696.27/x
  3. Step 3: Cross multiply
    442,420.92x = 662,598.01 × 406,696.27
  4. Step 4: Simplify right side
    442,420.92x = 269,476,139,176.42
  5. Step 5: Solve for x
    x = 269,476,139,176.42/442,420.92
  6. Step 6: Final answer
    x = 609,094.48

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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.